8385068790 has 384 divisors, whose sum is σ = 27603763200. Its totient is φ = 1722850560.

The previous prime is 8385068779. The next prime is 8385068863. The reversal of 8385068790 is 978605838.

It is a happy number.

It is a super-2 number, since 2×8385068790² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21892939 + ... + 21893321.

It is an arithmetic number, because the mean of its divisors is an integer number (71884800).

Almost surely, 2^8385068790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8385068790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801881600).

8385068790 is an abundant number, since it is smaller than the sum of its proper divisors (19218694410).

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

8385068790 is a wasteful number, since it uses less digits than its factorization.

8385068790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8385068790 is about 91570.0212405785. The cubic root of 8385068790 is about 2031.5875526567.

The spelling of 8385068790 in words is "eight billion, three hundred eighty-five million, sixty-eight thousand, seven hundred ninety".