564960000 has 360 divisors, whose sum is σ = 2068887744. Its totient is φ = 135680000.

The previous prime is 564959977. The next prime is 564960061. The reversal of 564960000 is 69465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 564960000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279947 + ... + 5280053.

Almost surely, 2^564960000 is an apocalyptic number.

564960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034443872).

564960000 is an abundant number, since it is smaller than the sum of its proper divisors (1503927744).

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

564960000 is a wasteful number, since it uses less digits than its factorization.

564960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 564960000 is about 23768.8872267929. The cubic root of 564960000 is about 826.6834312706.

The spelling of 564960000 in words is "five hundred sixty-four million, nine hundred sixty thousand".