6814745136 has 200 divisors, whose sum is σ = 20321657664. Its totient is φ = 2203407360.

The previous prime is 6814745123. The next prime is 6814745153. The reversal of 6814745136 is 6315474186.

6814745136 is a `hidden beast` number, since 68 + 1 + 4 + 74 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6814745091 and 6814745100.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14718441 + ... + 14718903.

Almost surely, 2^6814745136 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 6814745136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160828832).

6814745136 is an abundant number, since it is smaller than the sum of its proper divisors (13506912528).

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

6814745136 is a wasteful number, since it uses less digits than its factorization.

6814745136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 786 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6814745136 is about 82551.4696174453. The cubic root of 6814745136 is about 1895.9048582286.

The spelling of 6814745136 in words is "six billion, eight hundred fourteen million, seven hundred forty-five thousand, one hundred thirty-six".