564632393794560 has 7392 divisors, whose sum is σ = 2776688384601600. Its totient is φ = 108716572016640.

The previous prime is 564632393794543. The next prime is 564632393794627. The reversal of 564632393794560 is 65497393236465.

564632393794560 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 3 + 23 + 9 + 37 + 9 + 4 + 560 = 666.

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 671 ways as a sum of consecutive naturals, for example, 1310051957545 + ... + 1310051957975.

Almost surely, 2^{564632393794560} 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 564632393794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388344192300800).

564632393794560 is an abundant number, since it is smaller than the sum of its proper divisors (2212055990807040).

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

564632393794560 is a wasteful number, since it uses less digits than its factorization.

564632393794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 72.

The spelling of 564632393794560 in words is "five hundred sixty-four trillion, six hundred thirty-two billion, three hundred ninety-three million, seven hundred ninety-four thousand, five hundred sixty".