6856081374528 has 336 divisors, whose sum is σ = 21306008655360. Its totient is φ = 2099484721152.

The previous prime is 6856081374523. The next prime is 6856081374529. The reversal of 6856081374528 is 8254731806586.

6856081374528 is a `hidden beast` number, since 6 + 8 + 5 + 608 + 13 + 7 + 4 + 5 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6856081374523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 740632876 + ... + 740642132.

Almost surely, 2^{6856081374528} is an apocalyptic number.

6856081374528 is a gapful number since it is divisible by the number (68) 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 6856081374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653004327680).

6856081374528 is an abundant number, since it is smaller than the sum of its proper divisors (14449927280832).

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

6856081374528 is a wasteful number, since it uses less digits than its factorization.

6856081374528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11081 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 6856081374528 in words is "six trillion, eight hundred fifty-six billion, eighty-one million, three hundred seventy-four thousand, five hundred twenty-eight".