688374567936 has 462 divisors, whose sum is σ = 2268081154346. Its totient is φ = 208570982400.

The previous prime is 688374567911. The next prime is 688374567949. The reversal of 688374567936 is 639765473886.

688374567936 is a `hidden beast` number, since 6 + 8 + 83 + 7 + 456 + 7 + 93 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 668051214336 + 20323353600 = 817344^2 + 142560^2 .

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

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 90322206 + ... + 90329826.

Almost surely, 2^688374567936 is an apocalyptic number.

688374567936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688374567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134040577173).

688374567936 is an abundant number, since it is smaller than the sum of its proper divisors (1579706586410).

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

688374567936 is an equidigital number, since it uses as much as digits as its factorization.

688374567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681 (or 7637 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 688374567936 in words is "six hundred eighty-eight billion, three hundred seventy-four million, five hundred sixty-seven thousand, nine hundred thirty-six".