688126257632 has 96 divisors (see below), whose sum is σ = 1520119560960. Its totient is φ = 303926353920.

The previous prime is 688126257547. The next prime is 688126257677. The reversal of 688126257632 is 236752621886.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803469 + ... + 3039027.

It is an arithmetic number, because the mean of its divisors is an integer number (15834578760).

Almost surely, 2^688126257632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688126257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760059780480).

688126257632 is an abundant number, since it is smaller than the sum of its proper divisors (831993303328).

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

688126257632 is a wasteful number, since it uses less digits than its factorization.

688126257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235816 (or 235808 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The spelling of 688126257632 in words is "six hundred eighty-eight billion, one hundred twenty-six million, two hundred fifty-seven thousand, six hundred thirty-two".