688994138880 has 180 divisors, whose sum is σ = 2465347396512. Its totient is φ = 183731742720.

The previous prime is 688994138867. The next prime is 688994138927. The reversal of 688994138880 is 88831499886.

688994138880 is a `hidden beast` number, since 6 + 8 + 89 + 94 + 1 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 688994138799 and 688994138808.

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 19 ways as a sum of consecutive naturals, for example, 3219016 + ... + 3426375.

Almost surely, 2^688994138880 is an apocalyptic number.

688994138880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688994138880 is an abundant number, since it is smaller than the sum of its proper divisors (1776353257632).

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

688994138880 is an equidigital number, since it uses as much as digits as its factorization.

688994138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645424 (or 6645401 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 688994138880 in words is "six hundred eighty-eight billion, nine hundred ninety-four million, one hundred thirty-eight thousand, eight hundred eighty".