564615360 has 336 divisors, whose sum is σ = 2066946336. Its totient is φ = 146644992.

The previous prime is 564615323. The next prime is 564615367. The reversal of 564615360 is 63516465.

564615360 is a `hidden beast` number, since 5 + 6 + 4 + 615 + 36 + 0 = 666.

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 (564615367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4121212 + ... + 4121348.

It is an arithmetic number, because the mean of its divisors is an integer number (6151626).

Almost surely, 2^564615360 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 564615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033473168).

564615360 is an abundant number, since it is smaller than the sum of its proper divisors (1502330976).

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

564615360 is a wasteful number, since it uses less digits than its factorization.

564615360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 564615360 is about 23761.6363072916. The cubic root of 564615360 is about 826.5152977561.

The spelling of 564615360 in words is "five hundred sixty-four million, six hundred fifteen thousand, three hundred sixty".