6828664438017 has 24 divisors (see below), whose sum is σ = 9924817391424. Its totient is φ = 4524204785184.

The previous prime is 6828664437989. The next prime is 6828664438033. The reversal of 6828664438017 is 7108344668286.

6828664438017 is a `hidden beast` number, since 68 + 2 + 86 + 64 + 438 + 0 + 1 + 7 = 666.

It is not a de Polignac number, because 6828664438017 - 2²⁰ = 6828663389441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6828664438087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22415563 + ... + 22718159.

It is an arithmetic number, because the mean of its divisors is an integer number (413534057976).

Almost surely, 2^{6828664438017} is an apocalyptic number.

It is an amenable number.

6828664438017 is a deficient number, since it is larger than the sum of its proper divisors (3096152953407).

6828664438017 is a wasteful number, since it uses less digits than its factorization.

6828664438017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318149 (or 318146 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 6828664438017 in words is "six trillion, eight hundred twenty-eight billion, six hundred sixty-four million, four hundred thirty-eight thousand, seventeen".