6866917175664 has 240 divisors, whose sum is σ = 24897595340800. Its totient is φ = 1715736328704.

The previous prime is 6866917175647. The next prime is 6866917175669. The reversal of 6866917175664 is 4665717196686.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6866917175592 and 6866917175601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6866917175669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13541344 + ... + 14039295.

Almost surely, 2^{6866917175664} is an apocalyptic number.

It is an amenable number.

6866917175664 is an abundant number, since it is smaller than the sum of its proper divisors (18030678165136).

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

6866917175664 is a wasteful number, since it uses less digits than its factorization.

6866917175664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27580692 (or 27580683 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 6866917175664 in words is "six trillion, eight hundred sixty-six billion, nine hundred seventeen million, one hundred seventy-five thousand, six hundred sixty-four".