6814772064 has 72 divisors (see below), whose sum is σ = 19388226312. Its totient is φ = 2270568960.

The previous prime is 6814772057. The next prime is 6814772077. The reversal of 6814772064 is 4602774186.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6814772064² = 92882236568549640192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907204 + ... + 914684.

It is an arithmetic number, because the mean of its divisors is an integer number (269280921).

Almost surely, 2^6814772064 is an apocalyptic number.

It is an amenable number.

6814772064 is an abundant number, since it is smaller than the sum of its proper divisors (12573454248).

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

6814772064 is a wasteful number, since it uses less digits than its factorization.

6814772064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6814772064 is about 82551.6327155314. The cubic root of 6814772064 is about 1895.9073554048.

The spelling of 6814772064 in words is "six billion, eight hundred fourteen million, seven hundred seventy-two thousand, sixty-four".