680491798272 has 1080 divisors, whose sum is σ = 2433193297920. Its totient is φ = 187489935360.

The previous prime is 680491798213. The next prime is 680491798277. The reversal of 680491798272 is 272897194086.

680491798272 is a `hidden beast` number, since 6 + 8 + 0 + 491 + 79 + 8 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680491798277) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4895624379 + ... + 4895624517.

Almost surely, 2^680491798272 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 680491798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216596648960).

680491798272 is an abundant number, since it is smaller than the sum of its proper divisors (1752701499648).

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

680491798272 is a wasteful number, since it uses less digits than its factorization.

680491798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 680491798272 in words is "six hundred eighty billion, four hundred ninety-one million, seven hundred ninety-eight thousand, two hundred seventy-two".