6568640431056 has 640 divisors, whose sum is σ = 22189822617600. Its totient is φ = 1838948106240.

The previous prime is 6568640430941. The next prime is 6568640431063. The reversal of 6568640431056 is 6501340468656.

6568640431056 is a `hidden beast` number, since 6 + 56 + 86 + 404 + 3 + 105 + 6 = 666.

It is a super-2 number, since 2×6568640431056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6568640430993 and 6568640431011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3870736000 + ... + 3870737696.

It is an arithmetic number, because the mean of its divisors is an integer number (34671597840).

Almost surely, 2^{6568640431056} is an apocalyptic number.

6568640431056 is a gapful number since it is divisible by the number (66) 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 6568640431056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11094911308800).

6568640431056 is an abundant number, since it is smaller than the sum of its proper divisors (15621182186544).

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

6568640431056 is a wasteful number, since it uses less digits than its factorization.

6568640431056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6568640431056 in words is "six trillion, five hundred sixty-eight billion, six hundred forty million, four hundred thirty-one thousand, fifty-six".