831680688558720 has 6144 divisors, whose sum is σ = 3876039491788800. Its totient is φ = 147149291520000.

The previous prime is 831680688558697. The next prime is 831680688558737. The reversal of 831680688558720 is 27855886086138.

It is a super-2 number, since 2×831680688558720² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3313468878595 + ... + 3313468878845.

It is an arithmetic number, because the mean of its divisors is an integer number (630865802700).

Almost surely, 2^{831680688558720} is an apocalyptic number.

831680688558720 is a gapful number since it is divisible by the number (80) 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 831680688558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938019745894400).

831680688558720 is an abundant number, since it is smaller than the sum of its proper divisors (3044358803230080).

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

831680688558720 is a wasteful number, since it uses less digits than its factorization.

831680688558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 75.

The spelling of 831680688558720 in words is "eight hundred thirty-one trillion, six hundred eighty billion, six hundred eighty-eight million, five hundred fifty-eight thousand, seven hundred twenty".