564338880 has 672 divisors, whose sum is σ = 2446202880. Its totient is φ = 121927680.

The previous prime is 564338861. The next prime is 564338903. The reversal of 564338880 is 88833465.

564338880 is a `hidden beast` number, since 564 + 3 + 3 + 8 + 8 + 80 = 666.

564338880 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13124139 + ... + 13124181.

Almost surely, 2^564338880 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 564338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223101440).

564338880 is an abundant number, since it is smaller than the sum of its proper divisors (1881864000).

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

564338880 is a wasteful number, since it uses less digits than its factorization.

564338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 564338880 is about 23755.8178137483. The cubic root of 564338880 is about 826.3803668069.

The spelling of 564338880 in words is "five hundred sixty-four million, three hundred thirty-eight thousand, eight hundred eighty".