566864004564 has 720 divisors, whose sum is σ = 1881332982144. Its totient is φ = 147457221120.

The previous prime is 566864004557. The next prime is 566864004569. The reversal of 566864004564 is 465400468665.

566864004564 is a `hidden beast` number, since 5 + 66 + 86 + 400 + 45 + 64 = 666.

It is a super-2 number, since 2×566864004564² (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 self number, because there is not a number n which added to its sum of digits gives 566864004564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566864004569) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 433713199 + ... + 433714505.

Almost surely, 2^566864004564 is an apocalyptic number.

566864004564 is a gapful number since it is divisible by the number (54) 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 566864004564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940666491072).

566864004564 is an abundant number, since it is smaller than the sum of its proper divisors (1314468977580).

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

566864004564 is a wasteful number, since it uses less digits than its factorization.

566864004564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 566864004564 in words is "five hundred sixty-six billion, eight hundred sixty-four million, four thousand, five hundred sixty-four".