688646845120 has 112 divisors (see below), whose sum is σ = 1766353246560. Its totient is φ = 254216134656.

The previous prime is 688646845111. The next prime is 688646845121. The reversal of 688646845120 is 21548646886.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (688646845121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23626716 + ... + 23655844.

It is an arithmetic number, because the mean of its divisors is an integer number (15771011130).

Almost surely, 2^688646845120 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 688646845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883176623280).

688646845120 is an abundant number, since it is smaller than the sum of its proper divisors (1077706401440).

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

688646845120 is a wasteful number, since it uses less digits than its factorization.

688646845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842 (or 34832 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 688646845120 in words is "six hundred eighty-eight billion, six hundred forty-six million, eight hundred forty-five thousand, one hundred twenty".