680116789440 has 224 divisors, whose sum is σ = 2617419525120. Its totient is φ = 164876774400.

The previous prime is 680116789397. The next prime is 680116789511. The reversal of 680116789440 is 44987611086.

680116789440 is a `hidden beast` number, since 6 + 8 + 0 + 116 + 7 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3483016 + ... + 3673095.

Almost surely, 2^680116789440 is an apocalyptic number.

680116789440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680116789440 is an abundant number, since it is smaller than the sum of its proper divisors (1937302735680).

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

680116789440 is a wasteful number, since it uses less digits than its factorization.

680116789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156148 (or 7156132 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 680116789440 in words is "six hundred eighty billion, one hundred sixteen million, seven hundred eighty-nine thousand, four hundred forty".