680294930337792 has 3744 divisors, whose sum is σ = 2725240783749120. Its totient is φ = 159411732480000.

The previous prime is 680294930337727. The next prime is 680294930337917. The reversal of 680294930337792 is 297733039492086.

680294930337792 is a `hidden beast` number, since 6 + 80 + 2 + 9 + 4 + 93 + 0 + 3 + 377 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 680294930337792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1305748426492 + ... + 1305748427012.

It is an arithmetic number, because the mean of its divisors is an integer number (727895508480).

Almost surely, 2^{680294930337792} is an apocalyptic number.

680294930337792 is a gapful number since it is divisible by the number (62) 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 680294930337792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362620391874560).

680294930337792 is an abundant number, since it is smaller than the sum of its proper divisors (2044945853411328).

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

680294930337792 is a wasteful number, since it uses less digits than its factorization.

680294930337792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 680294930337792 in words is "six hundred eighty trillion, two hundred ninety-four billion, nine hundred thirty million, three hundred thirty-seven thousand, seven hundred ninety-two".