564089702400 has 2016 divisors, whose sum is σ = 2557456312320. Its totient is φ = 120394874880.

The previous prime is 564089702399. The next prime is 564089702411. The reversal of 564089702400 is 4207980465.

It is a happy number.

564089702400 is a `hidden beast` number, since 564 + 0 + 89 + 7 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4441651137 + ... + 4441651263.

It is an arithmetic number, because the mean of its divisors is an integer number (1268579520).

Almost surely, 2^564089702400 is an apocalyptic number.

564089702400 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 564089702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278728156160).

564089702400 is an abundant number, since it is smaller than the sum of its proper divisors (1993366609920).

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

564089702400 is a wasteful number, since it uses less digits than its factorization.

564089702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 564089702400 in words is "five hundred sixty-four billion, eighty-nine million, seven hundred two thousand, four hundred".