1681680177688 has 32 divisors (see below), whose sum is σ = 3605079376800. Its totient is φ = 720424276992.

The previous prime is 1681680177643. The next prime is 1681680177707. The reversal of 1681680177688 is 8867710861861.

It is a super-4 number, since 4×1681680177688⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6024793 + ... + 6297736.

It is an arithmetic number, because the mean of its divisors is an integer number (112658730525).

Almost surely, 2^{1681680177688} is an apocalyptic number.

It is an amenable number.

1681680177688 is an abundant number, since it is smaller than the sum of its proper divisors (1923399199112).

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

1681680177688 is a wasteful number, since it uses less digits than its factorization.

1681680177688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324979 (or 12324975 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 67.

The spelling of 1681680177688 in words is "one trillion, six hundred eighty-one billion, six hundred eighty million, one hundred seventy-seven thousand, six hundred eighty-eight".