564436656 has 120 divisors (see below), whose sum is σ = 1812081440. Its totient is φ = 160662528.

The previous prime is 564436643. The next prime is 564436711. The reversal of 564436656 is 656634465.

564436656 is a `hidden beast` number, since 564 + 4 + 36 + 6 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314610 + ... + 316398.

Almost surely, 2^564436656 is an apocalyptic number.

564436656 is a gapful number since it is divisible by the number (56) 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 564436656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906040720).

564436656 is an abundant number, since it is smaller than the sum of its proper divisors (1247644784).

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

564436656 is a wasteful number, since it uses less digits than its factorization.

564436656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2114 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 564436656 is about 23757.8756626092. The cubic root of 564436656 is about 826.4280896106.

The spelling of 564436656 in words is "five hundred sixty-four million, four hundred thirty-six thousand, six hundred fifty-six".