9011686320 has 960 divisors, whose sum is σ = 40637399040. Its totient is φ = 1787111424.

The previous prime is 9011686319. The next prime is 9011686337. The reversal of 9011686320 is 236861109.

9011686320 is a `hidden beast` number, since 9 + 0 + 1 + 16 + 8 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70958097 + ... + 70958223.

It is an arithmetic number, because the mean of its divisors is an integer number (42330624).

Almost surely, 2^9011686320 is an apocalyptic number.

9011686320 is a gapful number since it is divisible by the number (90) 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 9011686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318699520).

9011686320 is an abundant number, since it is smaller than the sum of its proper divisors (31625712720).

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

9011686320 is a wasteful number, since it uses less digits than its factorization.

9011686320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9011686320 is about 94929.9021383673. The cubic root of 9011686320 is about 2080.9837493996.

The spelling of 9011686320 in words is "nine billion, eleven million, six hundred eighty-six thousand, three hundred twenty".