688403558976 has 168 divisors, whose sum is σ = 2119828684896. Its totient is φ = 196588707840.

The previous prime is 688403558971. The next prime is 688403559013. The reversal of 688403558976 is 679855304886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×688403558976² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 688403558976.

It is not an unprimeable number, because it can be changed into a prime (688403558971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20031280 + ... + 20065616.

Almost surely, 2^688403558976 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 688403558976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059914342448).

688403558976 is an abundant number, since it is smaller than the sum of its proper divisors (1431425125920).

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

688403558976 is a wasteful number, since it uses less digits than its factorization.

688403558976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36497 (or 36480 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 69.

The spelling of 688403558976 in words is "six hundred eighty-eight billion, four hundred three million, five hundred fifty-eight thousand, nine hundred seventy-six".