688126471824 has 160 divisors (see below), whose sum is σ = 1997038859904. Its totient is φ = 202341335040.

The previous prime is 688126471817. The next prime is 688126471829. The reversal of 688126471824 is 428174621886.

It is not an unprimeable number, because it can be changed into a prime (688126471829) 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, 7239712 + ... + 7334144.

Almost surely, 2^688126471824 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 688126471824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998519429952).

688126471824 is an abundant number, since it is smaller than the sum of its proper divisors (1308912388080).

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

688126471824 is a wasteful number, since it uses less digits than its factorization.

688126471824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94865 (or 94859 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The spelling of 688126471824 in words is "six hundred eighty-eight billion, one hundred twenty-six million, four hundred seventy-one thousand, eight hundred twenty-four".