688873354880 has 32 divisors (see below), whose sum is σ = 1646837865540. Its totient is φ = 275549341696.

The previous prime is 688873354879. The next prime is 688873354889. The reversal of 688873354880 is 88453378886.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 627809014336 + 61064340544 = 792344^2 + 247112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 688873354880.

It is not an unprimeable number, because it can be changed into a prime (688873354889) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 538181669 + ... + 538182948.

Almost surely, 2^688873354880 is an apocalyptic number.

It is an amenable number.

688873354880 is an abundant number, since it is smaller than the sum of its proper divisors (957964510660).

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

688873354880 is a wasteful number, since it uses less digits than its factorization.

688873354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076364636 (or 1076364624 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 68.

The spelling of 688873354880 in words is "six hundred eighty-eight billion, eight hundred seventy-three million, three hundred fifty-four thousand, eight hundred eighty".