564516864 has 240 divisors, whose sum is σ = 1748106360. Its totient is φ = 181370880.

The previous prime is 564516793. The next prime is 564516877. The reversal of 564516864 is 468615465.

564516864 is a `hidden beast` number, since 56 + 4 + 516 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6801367 + ... + 6801449.

Almost surely, 2^564516864 is an apocalyptic number.

564516864 is a gapful number since it is divisible by the number (54) 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 564516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874053180).

564516864 is an abundant number, since it is smaller than the sum of its proper divisors (1183589496).

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

564516864 is an equidigital number, since it uses as much as digits as its factorization.

564516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 564516864 is about 23759.5636323566. The cubic root of 564516864 is about 826.4672336574.

The spelling of 564516864 in words is "five hundred sixty-four million, five hundred sixteen thousand, eight hundred sixty-four".