999075319676928 has 1920 divisors, whose sum is σ = 3515721156125640. Its totient is φ = 281425886576640.

The previous prime is 999075319676887. The next prime is 999075319676933. The reversal of 999075319676928 is 829676913570999.

999075319676928 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 7 + 531 + 9 + 6 + 7 + 69 + 2 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 108909428097024 + 890165891579904 = 10435968^2 + 29835648^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 282144962838 + ... + 282144966378.

Almost surely, 2^{999075319676928} 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 999075319676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757860578062820).

999075319676928 is an abundant number, since it is smaller than the sum of its proper divisors (2516645836448712).

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

999075319676928 is a wasteful number, since it uses less digits than its factorization.

999075319676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 24998984640, while the sum is 90.

The spelling of 999075319676928 in words is "nine hundred ninety-nine trillion, seventy-five billion, three hundred nineteen million, six hundred seventy-six thousand, nine hundred twenty-eight".