1680976089680 has 40 divisors (see below), whose sum is σ = 3921608266632. Its totient is φ = 670095578624.

The previous prime is 1680976089679. The next prime is 1680976089707. The reversal of 1680976089680 is 869806790861.

It can be written as a sum of positive squares in 4 ways, for example, as 933055538704 + 747920550976 = 965948^2 + 864824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1680976089680² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1680976089680.

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, 35833559 + ... + 35880438.

Almost surely, 2^{1680976089680} is an apocalyptic number.

1680976089680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680976089680 is an abundant number, since it is smaller than the sum of its proper divisors (2240632176952).

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

1680976089680 is a wasteful number, since it uses less digits than its factorization.

1680976089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71714303 (or 71714297 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 68.

The spelling of 1680976089680 in words is "one trillion, six hundred eighty billion, nine hundred seventy-six million, eighty-nine thousand, six hundred eighty".