680140468224 has 1248 divisors, whose sum is σ = 2491313750016. Its totient is φ = 181308948480.

The previous prime is 680140468211. The next prime is 680140468243. The reversal of 680140468224 is 422864041086.

It is a self number, because there is not a number n which added to its sum of digits gives 680140468224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10151350239 + ... + 10151350305.

It is an arithmetic number, because the mean of its divisors is an integer number (1996244992).

Almost surely, 2^680140468224 is an apocalyptic number.

680140468224 is a gapful number since it is divisible by the number (64) 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 680140468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245656875008).

680140468224 is an abundant number, since it is smaller than the sum of its proper divisors (1811173281792).

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

680140468224 is an equidigital number, since it uses as much as digits as its factorization.

680140468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 680140468224 in words is "six hundred eighty billion, one hundred forty million, four hundred sixty-eight thousand, two hundred twenty-four".