9765460224 has 288 divisors, whose sum is σ = 31317350400. Its totient is φ = 2983772160.

The previous prime is 9765460223. The next prime is 9765460241. The reversal of 9765460224 is 4220645679.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9765460224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9765460224.

It is not an unprimeable number, because it can be changed into a prime (9765460223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17162212 + ... + 17162780.

It is an arithmetic number, because the mean of its divisors is an integer number (108740800).

Almost surely, 2^9765460224 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 9765460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658675200).

9765460224 is an abundant number, since it is smaller than the sum of its proper divisors (21551890176).

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

9765460224 is a wasteful number, since it uses less digits than its factorization.

9765460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 9765460224 is about 98820.3431688031. The cubic root of 9765460224 is about 2137.4579113904.

The spelling of 9765460224 in words is "nine billion, seven hundred sixty-five million, four hundred sixty thousand, two hundred twenty-four".