64 is a positive integer between 63 and 65.
64 is the square of 8, the cube of 4, and the sixth power of two.
It is the smallest power of two that is adjacent to neither a mersenne prime or a fermat prime, and the third integer to be both a square and a cube (after 0 and 1)
It is a deficient number, but only by a bit - like other powers of two, the sum of its factors is one less than it.
It is the number of ways of coloring complete graph \(K_4\) by two colors. It is why Graham's Number is the 64th member of G-sequence.
In googology Edit
It can be named quintwo with the -wo series.
It can be named gareight with the gar- prefix.
It can be named dugarfour with the dugar- prefix.