688072468688 has 240 divisors, whose sum is σ = 1522336939200. Its totient is φ = 300899174400.

The previous prime is 688072468667. The next prime is 688072468729. The reversal of 688072468688 is 886864270886.

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 47 ways as a sum of consecutive naturals, for example, 1492564778 + ... + 1492565238.

It is an arithmetic number, because the mean of its divisors is an integer number (6343070580).

Almost surely, 2^688072468688 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 688072468688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761168469600).

688072468688 is an abundant number, since it is smaller than the sum of its proper divisors (834264470512).

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

688072468688 is a wasteful number, since it uses less digits than its factorization.

688072468688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 71.

The spelling of 688072468688 in words is "six hundred eighty-eight billion, seventy-two million, four hundred sixty-eight thousand, six hundred eighty-eight".