564760000 has 140 divisors (see below), whose sum is σ = 1601274928. Its totient is φ = 193536000.

The previous prime is 564759991. The next prime is 564760039. The reversal of 564760000 is 67465.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 278992 + ... + 281008.

Almost surely, 2^564760000 is an apocalyptic number.

564760000 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 564760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800637464).

564760000 is an abundant number, since it is smaller than the sum of its proper divisors (1036514928).

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

564760000 is an equidigital number, since it uses as much as digits as its factorization.

564760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 564760000 is about 23764.6796738353. The cubic root of 564760000 is about 826.5858690832.

The spelling of 564760000 in words is "five hundred sixty-four million, seven hundred sixty thousand".