9652760320 has 144 divisors (see below), whose sum is σ = 26586782208. Its totient is φ = 3289190400.

The previous prime is 9652760303. The next prime is 9652760363. The reversal of 9652760320 is 230672569.

9652760320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1493095 + ... + 1499545.

It is an arithmetic number, because the mean of its divisors is an integer number (184630432).

Almost surely, 2^9652760320 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 9652760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293391104).

9652760320 is an abundant number, since it is smaller than the sum of its proper divisors (16934021888).

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

9652760320 is a wasteful number, since it uses less digits than its factorization.

9652760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 9652760320 is about 98248.4621762600. The cubic root of 9652760320 is about 2129.2035139084.

The spelling of 9652760320 in words is "nine billion, six hundred fifty-two million, seven hundred sixty thousand, three hundred twenty".