682401257118 has 448 divisors, whose sum is σ = 1861506662400. Its totient is φ = 183449759040.

The previous prime is 682401257077. The next prime is 682401257129. The reversal of 682401257118 is 811752104286.

682401257118 is a `hidden beast` number, since 6 + 82 + 401 + 2 + 57 + 118 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2594681455 + ... + 2594681717.

It is an arithmetic number, because the mean of its divisors is an integer number (4155148800).

Almost surely, 2^682401257118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682401257118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930753331200).

682401257118 is an abundant number, since it is smaller than the sum of its proper divisors (1179105405282).

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

682401257118 is a wasteful number, since it uses less digits than its factorization.

682401257118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 682401257118 in words is "six hundred eighty-two billion, four hundred one million, two hundred fifty-seven thousand, one hundred eighteen".