6680977920 has 120 divisors (see below), whose sum is σ = 23138185356. Its totient is φ = 1781587968.

The previous prime is 6680977913. The next prime is 6680977957. The reversal of 6680977920 is 297790866.

It can be written as a sum of positive squares in 2 ways, for example, as 6174187776 + 506790144 = 78576^2 + 22512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121947 + ... + 168026.

Almost surely, 2^6680977920 is an apocalyptic number.

6680977920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6680977920 is an abundant number, since it is smaller than the sum of its proper divisors (16457207436).

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

6680977920 is a wasteful number, since it uses less digits than its factorization.

6680977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290002 (or 289983 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 6680977920 is about 81737.2492808511. The cubic root of 6680977920 is about 1883.4178357330.

The spelling of 6680977920 in words is "six billion, six hundred eighty million, nine hundred seventy-seven thousand, nine hundred twenty".