6809875213824 has 200 divisors, whose sum is σ = 20328906846600. Its totient is φ = 2269598552064.

The previous prime is 6809875213819. The next prime is 6809875213847. The reversal of 6809875213824 is 4283125789086.

6809875213824 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 87 + 521 + 3 + 8 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445111327 + ... + 445126625.

It is an arithmetic number, because the mean of its divisors is an integer number (101644534233).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6809875213824 = 13619750427648, but 3⋅6809875213824 = 20429625641472 is not.

Almost surely, 2^{6809875213824} is an apocalyptic number.

6809875213824 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 6809875213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164453423300).

6809875213824 is an abundant number, since it is smaller than the sum of its proper divisors (13519031632776).

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

6809875213824 is a wasteful number, since it uses less digits than its factorization.

6809875213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26062 (or 26037 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6809875213824 in words is "six trillion, eight hundred nine billion, eight hundred seventy-five million, two hundred thirteen thousand, eight hundred twenty-four".