9612472320 has 468 divisors, whose sum is σ = 36708523488. Its totient is φ = 2324889600.

The previous prime is 9612472301. The next prime is 9612472321. The reversal of 9612472320 is 232742169.

9612472320 is a `hidden beast` number, since 9 + 612 + 4 + 7 + 2 + 32 + 0 = 666.

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 (9612472321) 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 35 ways as a sum of consecutive naturals, for example, 22302505 + ... + 22302935.

It is an arithmetic number, because the mean of its divisors is an integer number (78437016).

Almost surely, 2^9612472320 is an apocalyptic number.

9612472320 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 9612472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354261744).

9612472320 is an abundant number, since it is smaller than the sum of its proper divisors (27096051168).

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

9612472320 is a wasteful number, since it uses less digits than its factorization.

9612472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9612472320 is about 98043.2165935002. The cubic root of 9612472320 is about 2126.2371440651.

The spelling of 9612472320 in words is "nine billion, six hundred twelve million, four hundred seventy-two thousand, three hundred twenty".