564928396800 has 240 divisors, whose sum is σ = 1867179747312. Its totient is φ = 150568960000.

The previous prime is 564928396789. The next prime is 564928396819. The reversal of 564928396800 is 8693829465.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×564928396800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141194800 + ... + 141198800.

Almost surely, 2^564928396800 is an apocalyptic number.

564928396800 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 564928396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933589873656).

564928396800 is an abundant number, since it is smaller than the sum of its proper divisors (1302251350512).

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

564928396800 is a wasteful number, since it uses less digits than its factorization.

564928396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7688 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 564928396800 in words is "five hundred sixty-four billion, nine hundred twenty-eight million, three hundred ninety-six thousand, eight hundred".