680766871680 has 768 divisors, whose sum is σ = 2861570799360. Its totient is φ = 151389388800.

The previous prime is 680766871679. The next prime is 680766871691. The reversal of 680766871680 is 86178667086.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40271230 + ... + 40288130.

It is an arithmetic number, because the mean of its divisors is an integer number (3726003645).

Almost surely, 2^680766871680 is an apocalyptic number.

680766871680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680766871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430785399680).

680766871680 is an abundant number, since it is smaller than the sum of its proper divisors (2180803927680).

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

680766871680 is a wasteful number, since it uses less digits than its factorization.

680766871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16979 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 680766871680 in words is "six hundred eighty billion, seven hundred sixty-six million, eight hundred seventy-one thousand, six hundred eighty".