6812815104 has 162 divisors, whose sum is σ = 20733812736. Its totient is φ = 2151152640.

The previous prime is 6812815103. The next prime is 6812815133. The reversal of 6812815104 is 4015182186.

6812815104 is a `hidden beast` number, since 68 + 1 + 2 + 81 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812815103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 827649 + ... + 835839.

Almost surely, 2^6812815104 is an apocalyptic number.

6812815104 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 6812815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366906368).

6812815104 is an abundant number, since it is smaller than the sum of its proper divisors (13920997632).

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

6812815104 is a wasteful number, since it uses less digits than its factorization.

6812815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 6812815104 is about 82539.7789190158. The cubic root of 6812815104 is about 1895.7258589915.

The spelling of 6812815104 in words is "six billion, eight hundred twelve million, eight hundred fifteen thousand, one hundred four".