680975734320 has 240 divisors, whose sum is σ = 2617726954752. Its totient is φ = 155408785920.

The previous prime is 680975734319. The next prime is 680975734331. The reversal of 680975734320 is 23437579086.

680975734320 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 7 + 573 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3135655 + ... + 3345785.

Almost surely, 2^680975734320 is an apocalyptic number.

680975734320 is a gapful number since it is divisible by the number (60) 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 680975734320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308863477376).

680975734320 is an abundant number, since it is smaller than the sum of its proper divisors (1936751220432).

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

680975734320 is a wasteful number, since it uses less digits than its factorization.

680975734320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210800 (or 210791 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 680975734320 in words is "six hundred eighty billion, nine hundred seventy-five million, seven hundred thirty-four thousand, three hundred twenty".