6856641562624 has 192 divisors, whose sum is σ = 16209713520000. Its totient is φ = 2838478848000.

The previous prime is 6856641562543. The next prime is 6856641562651. The reversal of 6856641562624 is 4262651466586.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59307627 + ... + 59423125.

It is an arithmetic number, because the mean of its divisors is an integer number (84425591250).

Almost surely, 2^{6856641562624} is an apocalyptic number.

6856641562624 is a gapful number since it is divisible by the number (64) 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 6856641562624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104856760000).

6856641562624 is an abundant number, since it is smaller than the sum of its proper divisors (9353071957376).

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

6856641562624 is a wasteful number, since it uses less digits than its factorization.

6856641562624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115670 (or 115650 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 61.

The spelling of 6856641562624 in words is "six trillion, eight hundred fifty-six billion, six hundred forty-one million, five hundred sixty-two thousand, six hundred twenty-four".