688799115607680 has 3072 divisors, whose sum is σ = 3180990805862400. Its totient is φ = 140980517314560.

The previous prime is 688799115607679. The next prime is 688799115607777. The reversal of 688799115607680 is 86706511997886.

688799115607680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 688799115607680.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50546637027 + ... + 50546650653.

It is an arithmetic number, because the mean of its divisors is an integer number (1035478777950).

Almost surely, 2^{688799115607680} is an apocalyptic number.

688799115607680 is a gapful number since it is divisible by the number (60) 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 688799115607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590495402931200).

688799115607680 is an abundant number, since it is smaller than the sum of its proper divisors (2492191690254720).

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

688799115607680 is a wasteful number, since it uses less digits than its factorization.

688799115607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13759 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 81.

The spelling of 688799115607680 in words is "six hundred eighty-eight trillion, seven hundred ninety-nine billion, one hundred fifteen million, six hundred seven thousand, six hundred eighty".