564928192604160 has 3456 divisors, whose sum is σ = 2639073048393600. Its totient is φ = 110204414853120.

The previous prime is 564928192604159. The next prime is 564928192604201. The reversal of 564928192604160 is 61406291829465.

564928192604160 is a `hidden beast` number, since 5 + 6 + 4 + 9 + 2 + 8 + 1 + 9 + 2 + 604 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106650590632 + ... + 106650595928.

It is an arithmetic number, because the mean of its divisors is an integer number (763620673725).

Almost surely, 2^{564928192604160} 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 564928192604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319536524196800).

564928192604160 is an abundant number, since it is smaller than the sum of its proper divisors (2074144855789440).

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

564928192604160 is a wasteful number, since it uses less digits than its factorization.

564928192604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 564928192604160 in words is "five hundred sixty-four trillion, nine hundred twenty-eight billion, one hundred ninety-two million, six hundred four thousand, one hundred sixty".