680144904432 has 560 divisors, whose sum is σ = 2364944491008. Its totient is φ = 185188861440.

The previous prime is 680144904391. The next prime is 680144904433. The reversal of 680144904432 is 234409441086.

680144904432 is a `hidden beast` number, since 6 + 80 + 1 + 44 + 90 + 443 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680144904433) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 700457707 + ... + 700458677.

Almost surely, 2^680144904432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680144904432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182472245504).

680144904432 is an abundant number, since it is smaller than the sum of its proper divisors (1684799586576).

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

680144904432 is a wasteful number, since it uses less digits than its factorization.

680144904432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 680144904432 in words is "six hundred eighty billion, one hundred forty-four million, nine hundred four thousand, four hundred thirty-two".