566483693644800 has 2112 divisors, whose sum is σ = 2228513994547200. Its totient is φ = 140518018252800.

The previous prime is 566483693644793. The next prime is 566483693644801. The reversal of 566483693644800 is 8446396384665.

566483693644800 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 83 + 6 + 9 + 3 + 64 + 480 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (566483693644801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388268466471 + ... + 388268467929.

Almost surely, 2^{566483693644800} is an apocalyptic number.

566483693644800 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 566483693644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114256997273600).

566483693644800 is an abundant number, since it is smaller than the sum of its proper divisors (1662030300902400).

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

566483693644800 is a wasteful number, since it uses less digits than its factorization.

566483693644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 2149908480, while the sum is 72.

The spelling of 566483693644800 in words is "five hundred sixty-six trillion, four hundred eighty-three billion, six hundred ninety-three million, six hundred forty-four thousand, eight hundred".