64 (number)

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

It is the seventeenth interprime, since it lies midway between the eighteenth and nineteenth prime numbers (61, 67).

[2] 64 is: Since it is possible to find sequences of 65 consecutive integers (intervals of length 64) such that each inner member shares a factor with either the first or the last member, 64 is the seventh Erdős–Woods number.

[10] In decimal, no integer added to the sum of its own digits yields 64; hence, 64 is the tenth self number.

[11] In four dimensions, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms, and 64 Bravais lattices.