6807563136 has 256 divisors, whose sum is σ = 22025145600. Its totient is φ = 2052864000.

The previous prime is 6807563129. The next prime is 6807563137. The reversal of 6807563136 is 6313657086.

6807563136 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 5 + 631 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6807563091 and 6807563100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807563137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12583026 + ... + 12583566.

It is an arithmetic number, because the mean of its divisors is an integer number (86035725).

Almost surely, 2^6807563136 is an apocalyptic number.

6807563136 is a gapful number since it is divisible by the number (66) 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 6807563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11012572800).

6807563136 is an abundant number, since it is smaller than the sum of its proper divisors (15217582464).

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

6807563136 is a wasteful number, since it uses less digits than its factorization.

6807563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6807563136 is about 82507.9580161817. The cubic root of 6807563136 is about 1895.2385982966.

The spelling of 6807563136 in words is "six billion, eight hundred seven million, five hundred sixty-three thousand, one hundred thirty-six".