9306288672 has 96 divisors (see below), whose sum is σ = 24749867520. Its totient is φ = 3061555200.

The previous prime is 9306288653. The next prime is 9306288697. The reversal of 9306288672 is 2768826039.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 3421329 + ... + 3424047.

It is an arithmetic number, because the mean of its divisors is an integer number (257811120).

Almost surely, 2^9306288672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9306288672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374933760).

9306288672 is an abundant number, since it is smaller than the sum of its proper divisors (15443578848).

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

9306288672 is a wasteful number, since it uses less digits than its factorization.

9306288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 9306288672 is about 96469.1073453051. The cubic root of 9306288672 is about 2103.4176150791.

The spelling of 9306288672 in words is "nine billion, three hundred six million, two hundred eighty-eight thousand, six hundred seventy-two".