9725538720 has 96 divisors (see below), whose sum is σ = 30666504960. Its totient is φ = 2590848000.

The previous prime is 9725538673. The next prime is 9725538731. The reversal of 9725538720 is 278355279.

It is a happy number.

9725538720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9725538720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9725538720.

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, 488970 + ... + 508470.

It is an arithmetic number, because the mean of its divisors is an integer number (319442760).

Almost surely, 2^9725538720 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 9725538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333252480).

9725538720 is an abundant number, since it is smaller than the sum of its proper divisors (20940966240).

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

9725538720 is a wasteful number, since it uses less digits than its factorization.

9725538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20558 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 9725538720 is about 98618.1459975800. The cubic root of 9725538720 is about 2134.5412686052.

The spelling of 9725538720 in words is "nine billion, seven hundred twenty-five million, five hundred thirty-eight thousand, seven hundred twenty".