688996368896 has 320 divisors, whose sum is σ = 1614539520000. Its totient is φ = 290443345920.

The previous prime is 688996368883. The next prime is 688996368899. The reversal of 688996368896 is 698863699886.

It is not an unprimeable number, because it can be changed into a prime (688996368899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259590895 + ... + 1259591441.

It is an arithmetic number, because the mean of its divisors is an integer number (5045436000).

Almost surely, 2^688996368896 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 688996368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807269760000).

688996368896 is an abundant number, since it is smaller than the sum of its proper divisors (925543151104).

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

688996368896 is a wasteful number, since it uses less digits than its factorization.

688996368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its digits is 11609505792, while the sum is 86.

The spelling of 688996368896 in words is "six hundred eighty-eight billion, nine hundred ninety-six million, three hundred sixty-eight thousand, eight hundred ninety-six".