564575641920 has 448 divisors, whose sum is σ = 2081285591040. Its totient is φ = 143800436736.

The previous prime is 564575641879. The next prime is 564575641937. The reversal of 564575641920 is 29146575465.

564575641920 is a `hidden beast` number, since 5 + 6 + 4 + 57 + 564 + 1 + 9 + 20 = 666.

It is a super-2 number, since 2×564575641920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176263039 + ... + 176266241.

Almost surely, 2^564575641920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564575641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040642795520).

564575641920 is an abundant number, since it is smaller than the sum of its proper divisors (1516709949120).

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

564575641920 is a wasteful number, since it uses less digits than its factorization.

564575641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 564575641920 in words is "five hundred sixty-four billion, five hundred seventy-five million, six hundred forty-one thousand, nine hundred twenty".