564330672 has 80 divisors (see below), whose sum is σ = 1626324480. Its totient is φ = 187357248.

The previous prime is 564330659. The next prime is 564330707. The reversal of 564330672 is 276033465.

564330672 is a `hidden beast` number, since 5 + 643 + 3 + 0 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111133 + ... + 116099.

It is an arithmetic number, because the mean of its divisors is an integer number (20329056).

Almost surely, 2^564330672 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 564330672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813162240).

564330672 is an abundant number, since it is smaller than the sum of its proper divisors (1061993808).

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

564330672 is a wasteful number, since it uses less digits than its factorization.

564330672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247 (or 5235 counting only the distinct ones).

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

The square root of 564330672 is about 23755.6450554389. The cubic root of 564330672 is about 826.3763603708.

It can be divided in two parts, 5643 and 30672, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 564330672 in words is "five hundred sixty-four million, three hundred thirty thousand, six hundred seventy-two".