564606720 has 432 divisors, whose sum is σ = 2192067360. Its totient is φ = 137134080.

The previous prime is 564606719. The next prime is 564606761. The reversal of 564606720 is 27606465.

564606720 is a `hidden beast` number, since 5 + 646 + 0 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18213105 + ... + 18213135.

It is an arithmetic number, because the mean of its divisors is an integer number (5074230).

Almost surely, 2^564606720 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 564606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096033680).

564606720 is an abundant number, since it is smaller than the sum of its proper divisors (1627460640).

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

564606720 is a wasteful number, since it uses less digits than its factorization.

564606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 564606720 is about 23761.4545009349. The cubic root of 564606720 is about 826.5110818307.

The spelling of 564606720 in words is "five hundred sixty-four million, six hundred six thousand, seven hundred twenty".