9684045520 has 80 divisors (see below), whose sum is σ = 23560612560. Its totient is φ = 3697754112.

The previous prime is 9684045509. The next prime is 9684045551. The reversal of 9684045520 is 255404869.

It can be written as a sum of positive squares in 8 ways, for example, as 3117212224 + 6566833296 = 55832^2 + 81036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×9684045520³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126016 + ... + 187744.

It is an arithmetic number, because the mean of its divisors is an integer number (294507657).

Almost surely, 2^9684045520 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 9684045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780306280).

9684045520 is an abundant number, since it is smaller than the sum of its proper divisors (13876567040).

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

9684045520 is a wasteful number, since it uses less digits than its factorization.

9684045520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61832 (or 61826 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 9684045520 is about 98407.5480844838. The cubic root of 9684045520 is about 2131.5013271663.

The spelling of 9684045520 in words is "nine billion, six hundred eighty-four million, forty-five thousand, five hundred twenty".