688976043040 has 96 divisors (see below), whose sum is σ = 1645437855600. Its totient is φ = 272604401664.

The previous prime is 688976042999. The next prime is 688976043071. The reversal of 688976043040 is 40340679886.

It can be written as a sum of positive squares in 8 ways, for example, as 687446607376 + 1529435664 = 829124^2 + 39108^2 .

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 15 ways as a sum of consecutive naturals, for example, 5389786 + ... + 5516134.

Almost surely, 2^688976043040 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 688976043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822718927800).

688976043040 is an abundant number, since it is smaller than the sum of its proper divisors (956461812560).

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

688976043040 is a wasteful number, since it uses less digits than its factorization.

688976043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126734 (or 126726 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 688976043040 in words is "six hundred eighty-eight billion, nine hundred seventy-six million, forty-three thousand, forty".