564456816000 has 2048 divisors, whose sum is σ = 2639609856000. Its totient is φ = 115153920000.

The previous prime is 564456815957. The next prime is 564456816013. The reversal of 564456816000 is 618654465.

564456816000 is a `hidden beast` number, since 5 + 64 + 456 + 81 + 60 + 0 + 0 = 666.

564456816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564456816000² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2361743881 + ... + 2361744119.

It is an arithmetic number, because the mean of its divisors is an integer number (1288872000).

Almost surely, 2^564456816000 is an apocalyptic number.

564456816000 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 564456816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319804928000).

564456816000 is an abundant number, since it is smaller than the sum of its proper divisors (2075153040000).

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

564456816000 is a wasteful number, since it uses less digits than its factorization.

564456816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 564456816000 in words is "five hundred sixty-four billion, four hundred fifty-six million, eight hundred sixteen thousand".