64564992576 has 504 divisors, whose sum is σ = 230308952640. Its totient is φ = 16893204480.

The previous prime is 64564992551. The next prime is 64564992581. The reversal of 64564992576 is 67529946546.

64564992576 is a `hidden beast` number, since 6 + 4 + 56 + 4 + 9 + 9 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 73619850 + ... + 73620726.

Almost surely, 2^64564992576 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 64564992576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115154476320).

64564992576 is an abundant number, since it is smaller than the sum of its proper divisors (165743960064).

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

64564992576 is a wasteful number, since it uses less digits than its factorization.

64564992576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 939 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 64564992576 in words is "sixty-four billion, five hundred sixty-four million, nine hundred ninety-two thousand, five hundred seventy-six".