9776090016 has 384 divisors, whose sum is σ = 37100851200. Its totient is φ = 2428462080.

The previous prime is 9776089951. The next prime is 9776090041. The reversal of 9776090016 is 6100906779.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526950 + ... + 1533338.

It is an arithmetic number, because the mean of its divisors is an integer number (96616800).

Almost surely, 2^9776090016 is an apocalyptic number.

9776090016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9776090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550425600).

9776090016 is an abundant number, since it is smaller than the sum of its proper divisors (27324761184).

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

9776090016 is a wasteful number, since it uses less digits than its factorization.

9776090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 9776090016 is about 98874.1119606138. Note that the first 3 decimals coincide. The cubic root of 9776090016 is about 2138.2331776028.

The spelling of 9776090016 in words is "nine billion, seven hundred seventy-six million, ninety thousand, sixteen".