9091330560 has 480 divisors, whose sum is σ = 34317803520. Its totient is φ = 2210955264.

The previous prime is 9091330531. The next prime is 9091330561. The reversal of 9091330560 is 650331909.

9091330560 is a `hidden beast` number, since 9 + 0 + 91 + 3 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (9091330561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38038921 + ... + 38039159.

It is an arithmetic number, because the mean of its divisors is an integer number (71495424).

Almost surely, 2^9091330560 is an apocalyptic number.

9091330560 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 9091330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17158901760).

9091330560 is an abundant number, since it is smaller than the sum of its proper divisors (25226472960).

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

9091330560 is a wasteful number, since it uses less digits than its factorization.

9091330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 9091330560 is about 95348.4691015016. The cubic root of 9091330560 is about 2087.0962751339.

The spelling of 9091330560 in words is "nine billion, ninety-one million, three hundred thirty thousand, five hundred sixty".