680190928994304 has 4320 divisors, whose sum is σ = 2729965671014400. Its totient is φ = 162310127616000.

The previous prime is 680190928994299. The next prime is 680190928994377. The reversal of 680190928994304 is 403499829091086.

680190928994304 is a `hidden beast` number, since 6 + 8 + 0 + 19 + 0 + 92 + 8 + 99 + 430 + 4 = 666.

It is a super-2 number, since 2×680190928994304² (a number of 30 digits) contains 22 as substring.

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

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, 4504575688629 + ... + 4504575688779.

It is an arithmetic number, because the mean of its divisors is an integer number (631936497920).

Almost surely, 2^{680190928994304} is an apocalyptic number.

680190928994304 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 680190928994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364982835507200).

680190928994304 is an abundant number, since it is smaller than the sum of its proper divisors (2049774742020096).

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

680190928994304 is a wasteful number, since it uses less digits than its factorization.

680190928994304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 680190928994304 in words is "six hundred eighty trillion, one hundred ninety billion, nine hundred twenty-eight million, nine hundred ninety-four thousand, three hundred four".