9006967296 has 120 divisors (see below), whose sum is σ = 26109394740. Its totient is φ = 2989080576.

The previous prime is 9006967283. The next prime is 9006967303. The reversal of 9006967296 is 6927696009.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8987040000 + 19927296 = 94800^2 + 4464^2 .

It is a super-2 number, since 2×9006967296² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1069470 + ... + 1077858.

Almost surely, 2^9006967296 is an apocalyptic number.

9006967296 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 9006967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054697370).

9006967296 is an abundant number, since it is smaller than the sum of its proper divisors (17102427444).

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

9006967296 is a wasteful number, since it uses less digits than its factorization.

9006967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9006967296 is about 94905.0435751441. The cubic root of 9006967296 is about 2080.6204460716.

The spelling of 9006967296 in words is "nine billion, six million, nine hundred sixty-seven thousand, two hundred ninety-six".