6657904376768 has 168 divisors, whose sum is σ = 13886213365440. Its totient is φ = 3166597324800.

The previous prime is 6657904376743. The next prime is 6657904376777. The reversal of 6657904376768 is 8676734097566.

It is a junction number, because it is equal to n+sod(n) for n = 6657904376695 and 6657904376704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132101188 + ... + 1132107068.

Almost surely, 2^{6657904376768} 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 6657904376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943106682720).

6657904376768 is an abundant number, since it is smaller than the sum of its proper divisors (7228308988672).

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

6657904376768 is a wasteful number, since it uses less digits than its factorization.

6657904376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6267 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 74.

The spelling of 6657904376768 in words is "six trillion, six hundred fifty-seven billion, nine hundred four million, three hundred seventy-six thousand, seven hundred sixty-eight".