64956388525056 has 792 divisors, whose sum is σ = 225434760355584. Its totient is φ = 17943202529280.

The previous prime is 64956388525037. The next prime is 64956388525073. The reversal of 64956388525056 is 65052588365946.

It is a happy number.

64956388525056 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 6 + 38 + 85 + 2 + 505 + 6 = 666.

It is a super-2 number, since 2×64956388525056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24120454846 + ... + 24120457538.

Almost surely, 2^{64956388525056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64956388525056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112717380177792).

64956388525056 is an abundant number, since it is smaller than the sum of its proper divisors (160478371830528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64956388525056 is a wasteful number, since it uses less digits than its factorization.

64956388525056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 64956388525056 in words is "sixty-four trillion, nine hundred fifty-six billion, three hundred eighty-eight million, five hundred twenty-five thousand, fifty-six".