564974984880 has 640 divisors, whose sum is σ = 2221957785600. Its totient is φ = 131051520000.

The previous prime is 564974984813. The next prime is 564974984911. The reversal of 564974984880 is 88489479465.

564974984880 is a `hidden beast` number, since 5 + 6 + 4 + 97 + 498 + 48 + 8 + 0 = 666.

It is a super-2 number, since 2×564974984880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 564974984799 and 564974984808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28595005 + ... + 28614755.

It is an arithmetic number, because the mean of its divisors is an integer number (3471809040).

Almost surely, 2^564974984880 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 564974984880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110978892800).

564974984880 is an abundant number, since it is smaller than the sum of its proper divisors (1656982800720).

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

564974984880 is a wasteful number, since it uses less digits than its factorization.

564974984880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 564974984880 in words is "five hundred sixty-four billion, nine hundred seventy-four million, nine hundred eighty-four thousand, eight hundred eighty".