6856408684100 has 72 divisors (see below), whose sum is σ = 15245381561256. Its totient is φ = 2674954240000.

The previous prime is 6856408684001. The next prime is 6856408684123. The reversal of 6856408684100 is 14868046586.

It can be written as a sum of positive squares in 12 ways, for example, as 4646809677316 + 2209599006784 = 2155646^2 + 1486472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15197780 + ... + 15642420.

It is an arithmetic number, because the mean of its divisors is an integer number (211741410573).

Almost surely, 2^{6856408684100} 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 6856408684100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622690780628).

6856408684100 is an abundant number, since it is smaller than the sum of its proper divisors (8388972877156).

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

6856408684100 is a wasteful number, since it uses less digits than its factorization.

6856408684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448457 (or 448450 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 6856408684100 in words is "six trillion, eight hundred fifty-six billion, four hundred eight million, six hundred eighty-four thousand, one hundred".