9611384832 has 576 divisors, whose sum is σ = 34342963200. Its totient is φ = 2627665920.

The previous prime is 9611384819. The next prime is 9611384837. The reversal of 9611384832 is 2384831169.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9611384837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107993044 + ... + 107993132.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 2^9611384832 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 9611384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

9611384832 is an abundant number, since it is smaller than the sum of its proper divisors (24731578368).

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

9611384832 is an equidigital number, since it uses as much as digits as its factorization.

9611384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 9611384832 is about 98037.6704741601. The cubic root of 9611384832 is about 2126.1569584997.

The spelling of 9611384832 in words is "nine billion, six hundred eleven million, three hundred eighty-four thousand, eight hundred thirty-two".