8976090816 has 560 divisors, whose sum is σ = 33635289600. Its totient is φ = 2299207680.

The previous prime is 8976090811. The next prime is 8976090841. The reversal of 8976090816 is 6180906798.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8976090811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45105885 + ... + 45106083.

Almost surely, 2^8976090816 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 8976090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817644800).

8976090816 is an abundant number, since it is smaller than the sum of its proper divisors (24659198784).

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

8976090816 is a wasteful number, since it uses less digits than its factorization.

8976090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8976090816 is about 94742.2335392195. The cubic root of 8976090816 is about 2078.2402226112.

The spelling of 8976090816 in words is "eight billion, nine hundred seventy-six million, ninety thousand, eight hundred sixteen".