564960614400 has 1728 divisors, whose sum is σ = 2587646880000. Its totient is φ = 118961602560.

The previous prime is 564960614399. The next prime is 564960614417. The reversal of 564960614400 is 4416069465.

It is a happy number.

564960614400 is a `hidden beast` number, since 5 + 64 + 96 + 0 + 61 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1132185351 + ... + 1132185849.

Almost surely, 2^564960614400 is an apocalyptic number.

564960614400 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 564960614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293823440000).

564960614400 is an abundant number, since it is smaller than the sum of its proper divisors (2022686265600).

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

564960614400 is a wasteful number, since it uses less digits than its factorization.

564960614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 564960614400 in words is "five hundred sixty-four billion, nine hundred sixty million, six hundred fourteen thousand, four hundred".