564736320 has 224 divisors, whose sum is σ = 2009485440. Its totient is φ = 149299200.

The previous prime is 564736309. The next prime is 564736321. The reversal of 564736320 is 23637465.

564736320 is a `hidden beast` number, since 5 + 647 + 3 + 6 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×564736320² = 637854222254284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564736321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408120 + ... + 1408520.

Almost surely, 2^564736320 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 564736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004742720).

564736320 is an abundant number, since it is smaller than the sum of its proper divisors (1444749120).

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

564736320 is a wasteful number, since it uses less digits than its factorization.

564736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 564736320 is about 23764.1814502415. The cubic root of 564736320 is about 826.5743161953.

The spelling of 564736320 in words is "five hundred sixty-four million, seven hundred thirty-six thousand, three hundred twenty".