564560452872 has 384 divisors, whose sum is σ = 1737590400000. Its totient is φ = 164402472960.

The previous prime is 564560452843. The next prime is 564560452879. The reversal of 564560452872 is 278254065465.

564560452872 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 604 + 5 + 28 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (564560452879) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289665754 + ... + 289667702.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975000).

Almost surely, 2^564560452872 is an apocalyptic number.

564560452872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564560452872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868795200000).

564560452872 is an abundant number, since it is smaller than the sum of its proper divisors (1173029947128).

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

564560452872 is a wasteful number, since it uses less digits than its factorization.

564560452872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 564560452872 in words is "five hundred sixty-four billion, five hundred sixty million, four hundred fifty-two thousand, eight hundred seventy-two".