566610278400 has 432 divisors, whose sum is σ = 2136062892600. Its totient is φ = 143141437440.

The previous prime is 566610278371. The next prime is 566610278459. The reversal of 566610278400 is 4872016665.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 8722842 + ... + 8787558.

Almost surely, 2^566610278400 is an apocalyptic number.

566610278400 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 566610278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068031446300).

566610278400 is an abundant number, since it is smaller than the sum of its proper divisors (1569452614200).

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

566610278400 is a wasteful number, since it uses less digits than its factorization.

566610278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64774 (or 64746 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 566610278400 in words is "five hundred sixty-six billion, six hundred ten million, two hundred seventy-eight thousand, four hundred".