990083786976 has 96 divisors (see below), whose sum is σ = 2888050183200. Its totient is φ = 329992980480.

The previous prime is 990083786969. The next prime is 990083787001. The reversal of 990083786976 is 679687380099.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8861830 + ... + 8972858.

It is an arithmetic number, because the mean of its divisors is an integer number (30083856075).

Almost surely, 2^990083786976 is an apocalyptic number.

990083786976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

990083786976 is an abundant number, since it is smaller than the sum of its proper divisors (1897966396224).

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

990083786976 is a wasteful number, since it uses less digits than its factorization.

990083786976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121369 (or 121355 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 990083786976 in words is "nine hundred ninety billion, eighty-three million, seven hundred eighty-six thousand, nine hundred seventy-six".