680042379264 has 768 divisors, whose sum is σ = 2078692761600. Its totient is φ = 196804608000.

The previous prime is 680042379229. The next prime is 680042379307. The reversal of 680042379264 is 462973240086.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6733092814 + ... + 6733092914.

It is an arithmetic number, because the mean of its divisors is an integer number (2706631200).

Almost surely, 2^680042379264 is an apocalyptic number.

680042379264 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 680042379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039346380800).

680042379264 is an abundant number, since it is smaller than the sum of its proper divisors (1398650382336).

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

680042379264 is a wasteful number, since it uses less digits than its factorization.

680042379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 680042379264 in words is "six hundred eighty billion, forty-two million, three hundred seventy-nine thousand, two hundred sixty-four".