564025381920 has 1440 divisors, whose sum is σ = 2720775790656. Its totient is φ = 108167270400.

The previous prime is 564025381903. The next prime is 564025381943. The reversal of 564025381920 is 29183520465.

564025381920 is a `hidden beast` number, since 5 + 6 + 402 + 53 + 8 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90807615 + ... + 90813825.

Almost surely, 2^564025381920 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 564025381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360387895328).

564025381920 is an abundant number, since it is smaller than the sum of its proper divisors (2156750408736).

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

564025381920 is a wasteful number, since it uses less digits than its factorization.

564025381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 564025381920 in words is "five hundred sixty-four billion, twenty-five million, three hundred eighty-one thousand, nine hundred twenty".