566687634240 has 2016 divisors, whose sum is σ = 2535472606464. Its totient is φ = 105902899200.

The previous prime is 566687634217. The next prime is 566687634269. The reversal of 566687634240 is 42436786665.

It is a super-2 number, since 2×566687634240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3752898165 + ... + 3752898315.

It is an arithmetic number, because the mean of its divisors is an integer number (1257674904).

Almost surely, 2^566687634240 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 566687634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267736303232).

566687634240 is an abundant number, since it is smaller than the sum of its proper divisors (1968784972224).

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

566687634240 is a wasteful number, since it uses less digits than its factorization.

566687634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 566687634240 in words is "five hundred sixty-six billion, six hundred eighty-seven million, six hundred thirty-four thousand, two hundred forty".