680646151680 has 320 divisors, whose sum is σ = 2379678048000. Its totient is φ = 164593336320.

The previous prime is 680646151639. The next prime is 680646151681. The reversal of 680646151680 is 86151646086.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680646151681) by changing a digit.

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, 34542471 + ... + 34562169.

It is an arithmetic number, because the mean of its divisors is an integer number (7436493900).

Almost surely, 2^680646151680 is an apocalyptic number.

680646151680 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 680646151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189839024000).

680646151680 is an abundant number, since it is smaller than the sum of its proper divisors (1699031896320).

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

680646151680 is a wasteful number, since it uses less digits than its factorization.

680646151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 680646151680 in words is "six hundred eighty billion, six hundred forty-six million, one hundred fifty-one thousand, six hundred eighty".