64 (number)

64sixty-four
64 (sixty-four) is the natural number following 63 and preceding 65.wikipedia
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63 (number)

63
64 (sixty-four) is the natural number following 63 and preceding 65.
63 (sixty-three) is a natural number following 62 and preceding 64.

65 (number)

65
64 (sixty-four) is the natural number following 63 and preceding 65.
65 (sixty-five) is the natural number following 64 and preceding 66.

8

eight8 (number)number 8
Sixty-four is the square of 8, the cube of 4, and the sixth power of 2.

2

bracetwo2 (number)
Sixty-four is the square of 8, the cube of 4, and the sixth power of 2.

Power of two

powers of twopower of 2powers of 2
It is the lowest positive power of two that is adjacent to neither a Mersenne prime nor a Fermat prime.

Dodecagonal number

Dodecagonal
It is also a dodecagonal number and a centered triangular number.
:1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 793, 924, 1065, 1216, 1377, 1548, 1729, 1920, 2121, 2332, 2553, 2784, 3025, 3276, 3537, 3808, 4089, 4380, 4681, 4992, 5313, 5644, 5985, 6336, 6697, 7068, 7449, 7840, 8241, 8652, 9073, 9504, 9945 ...

Self number

self prime
In base 10, no integer added up to its own digits yields 64, hence it is a self number.
: 1, 3, 5, 7, 9, 20, 31, 42, 53, 64, 75, 86, 97, 108, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310, 312, 323, 334, 345, 356, 367, 378, 389, 400, 411, 413, 424, 435, 446, 457, 468, 479, 490, ...

Erdős–Woods number

Erdős–Woods conjecture
Since it is possible to find sequences of 64 consecutive integers such that each inner member shares a factor with either the first or the last member, 64 is an Erdős–Woods number.
:16, 22, 34, 36, 46, 56, 64, 66, 70 ….

Natural number

natural numberspositive integerpositive integers
64 (sixty-four) is the natural number following 63 and preceding 65.

4

four4 (number)
Sixty-four is the square of 8, the cube of 4, and the sixth power of 2.

Divisor

divisibilitydividesdivisible
It is the smallest number with exactly seven divisors.

Mersenne prime

Mersenne numberMersenne numbersMersenne primes
It is the lowest positive power of two that is adjacent to neither a Mersenne prime nor a Fermat prime.

Euler's totient function

totient functionEuler totient functiontotient
64 is the sum of Euler's totient function for the first fourteen integers.

Centered triangular number

It is also a dodecagonal number and a centered triangular number.

Superperfect number

super-multiperfect
64 is a superperfect number—a number such that σ(σ(n)) = 2n.

Divisor function

sum-of-divisors functionnumber of divisorssum of divisors function
64 is a superperfect number—a number such that σ(σ(n)) = 2n.

Graham's number

the number ''g'' 1
64 is the index of Graham's number in the rapidly growing sequence 3↑↑↑↑3, 3 ↑ 3,…

Knuth's up-arrow notation

Knuth up-arrow notationKnuth's Up-arrow operators10↑↑10
64 is the index of Graham's number in the rapidly growing sequence 3↑↑↑↑3, 3 ↑ 3,…

Atomic number

proton numberZatomic numbers
*The atomic number of gadolinium, a lanthanide

Messier object

MessierMessier CatalogueList of Messier objects

Galaxy

Constellation

constellationsEuropean constellationModern constellation