680809708800 has 864 divisors, whose sum is σ = 2761494364160. Its totient is φ = 163034726400.

The previous prime is 680809708771. The next prime is 680809708819. The reversal of 680809708800 is 8807908086.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83112705 + ... + 83120895.

Almost surely, 2^680809708800 is an apocalyptic number.

680809708800 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 680809708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380747182080).

680809708800 is an abundant number, since it is smaller than the sum of its proper divisors (2080684655360).

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

680809708800 is a wasteful number, since it uses less digits than its factorization.

680809708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 680809708800 in words is "six hundred eighty billion, eight hundred nine million, seven hundred eight thousand, eight hundred".