564394657680 has 1680 divisors, whose sum is σ = 2474081362944. Its totient is φ = 118983997440.

The previous prime is 564394657661. The next prime is 564394657777. The reversal of 564394657680 is 86756493465.

564394657680 is a `hidden beast` number, since 5 + 64 + 39 + 465 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 335 ways as a sum of consecutive naturals, for example, 2037525702 + ... + 2037525978.

Almost surely, 2^564394657680 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 564394657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237040681472).

564394657680 is an abundant number, since it is smaller than the sum of its proper divisors (1909686705264).

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

564394657680 is a wasteful number, since it uses less digits than its factorization.

564394657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 564394657680 in words is "five hundred sixty-four billion, three hundred ninety-four million, six hundred fifty-seven thousand, six hundred eighty".