10084076834680 has 64 divisors (see below), whose sum is σ = 23610333859200. Its totient is φ = 3873048627840.

The previous prime is 10084076834659. The next prime is 10084076834683. The reversal of 10084076834680 is 8643867048001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10084076834683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49583566 + ... + 49786525.

It is an arithmetic number, because the mean of its divisors is an integer number (368911466550).

Almost surely, 2^{10084076834680} is an apocalyptic number.

10084076834680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10084076834680 is an abundant number, since it is smaller than the sum of its proper divisors (13526257024520).

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

10084076834680 is a wasteful number, since it uses less digits than its factorization.

10084076834680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99370204 (or 99370200 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 10084076834680 in words is "ten trillion, eighty-four billion, seventy-six million, eight hundred thirty-four thousand, six hundred eighty".