564096128400 has 960 divisors, whose sum is σ = 2466202152960. Its totient is φ = 119522304000.

The previous prime is 564096128377. The next prime is 564096128429. The reversal of 564096128400 is 4821690465.

564096128400 is a `hidden beast` number, since 564 + 0 + 9 + 6 + 1 + 2 + 84 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 86105125 + ... + 86111675.

It is an arithmetic number, because the mean of its divisors is an integer number (2568960576).

Almost surely, 2^564096128400 is an apocalyptic number.

564096128400 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 564096128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233101076480).

564096128400 is an abundant number, since it is smaller than the sum of its proper divisors (1902106024560).

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

564096128400 is a wasteful number, since it uses less digits than its factorization.

564096128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 564096128400 in words is "five hundred sixty-four billion, ninety-six million, one hundred twenty-eight thousand, four hundred".