9645186304 has 72 divisors (see below), whose sum is σ = 20761394472. Its totient is φ = 4445675520.

The previous prime is 9645186301. The next prime is 9645186311. The reversal of 9645186304 is 4036815469.

9645186304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 197346304 + 9447840000 = 14048^2 + 97200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9645186301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3369834 + ... + 3372694.

It is an arithmetic number, because the mean of its divisors is an integer number (288352701).

Almost surely, 2^9645186304 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 9645186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10380697236).

9645186304 is an abundant number, since it is smaller than the sum of its proper divisors (11116208168).

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

9645186304 is a wasteful number, since it uses less digits than its factorization.

9645186304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 9645186304 is about 98209.9093981865. The cubic root of 9645186304 is about 2128.6464766571.

The spelling of 9645186304 in words is "nine billion, six hundred forty-five million, one hundred eighty-six thousand, three hundred four".