9134536320 has 1024 divisors, whose sum is σ = 41153817600. Its totient is φ = 1863254016.

The previous prime is 9134536297. The next prime is 9134536381. The reversal of 9134536320 is 236354319.

It is a happy number.

9134536320 is a `hidden beast` number, since 9 + 13 + 4 + 5 + 3 + 632 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58181682 + ... + 58181838.

It is an arithmetic number, because the mean of its divisors is an integer number (40189275).

Almost surely, 2^9134536320 is an apocalyptic number.

9134536320 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 9134536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20576908800).

9134536320 is an abundant number, since it is smaller than the sum of its proper divisors (32019281280).

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

9134536320 is a wasteful number, since it uses less digits than its factorization.

9134536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 9134536320 is about 95574.7682183954. The cubic root of 9134536320 is about 2090.3972993779.

The spelling of 9134536320 in words is "nine billion, one hundred thirty-four million, five hundred thirty-six thousand, three hundred twenty".