680399383104 has 420 divisors, whose sum is σ = 2349386438124. Its totient is φ = 194136735744.

The previous prime is 680399383061. The next prime is 680399383123. The reversal of 680399383104 is 401383993086.

680399383104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 560162433600 + 120236949504 = 748440^2 + 346752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 262397232 + ... + 262399824.

Almost surely, 2^680399383104 is an apocalyptic number.

680399383104 is a gapful number since it is divisible by the number (64) 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 680399383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174693219062).

680399383104 is an abundant number, since it is smaller than the sum of its proper divisors (1668987055020).

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

680399383104 is a wasteful number, since it uses less digits than its factorization.

680399383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 680399383104 in words is "six hundred eighty billion, three hundred ninety-nine million, three hundred eighty-three thousand, one hundred four".