7683857057000 has 128 divisors (see below), whose sum is σ = 18010058227200. Its totient is φ = 3068448480000.

The previous prime is 7683857056999. The next prime is 7683857057011. The reversal of 7683857057000 is 7507583867.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076155150 + ... + 2076158850.

It is an arithmetic number, because the mean of its divisors is an integer number (140703579900).

Almost surely, 2^{7683857057000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7683857057000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005029113600).

7683857057000 is an abundant number, since it is smaller than the sum of its proper divisors (10326201170200).

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

7683857057000 is a wasteful number, since it uses less digits than its factorization.

7683857057000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 56.

The spelling of 7683857057000 in words is "seven trillion, six hundred eighty-three billion, eight hundred fifty-seven million, fifty-seven thousand".