688872725376 has 256 divisors, whose sum is σ = 2049927782400. Its totient is φ = 203189575680.

The previous prime is 688872725347. The next prime is 688872725381. The reversal of 688872725376 is 673527278886.

It is a self number, because there is not a number n which added to its sum of digits gives 688872725376.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28419630 + ... + 28443858.

It is an arithmetic number, because the mean of its divisors is an integer number (8007530400).

Almost surely, 2^688872725376 is an apocalyptic number.

688872725376 is a gapful number since it is divisible by the number (66) 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 688872725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024963891200).

688872725376 is an abundant number, since it is smaller than the sum of its proper divisors (1361055057024).

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

688872725376 is a wasteful number, since it uses less digits than its factorization.

688872725376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24437 (or 24425 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 69.

The spelling of 688872725376 in words is "six hundred eighty-eight billion, eight hundred seventy-two million, seven hundred twenty-five thousand, three hundred seventy-six".