9724698720 has 288 divisors, whose sum is σ = 36401418144. Its totient is φ = 2344550400.

The previous prime is 9724698713. The next prime is 9724698749. The reversal of 9724698720 is 278964279.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055530 + ... + 3058710.

It is an arithmetic number, because the mean of its divisors is an integer number (126393813).

Almost surely, 2^9724698720 is an apocalyptic number.

9724698720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9724698720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200709072).

9724698720 is an abundant number, since it is smaller than the sum of its proper divisors (26676719424).

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

9724698720 is a wasteful number, since it uses less digits than its factorization.

9724698720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9724698720 is about 98613.8870545117. The cubic root of 9724698720 is about 2134.4798130108.

It can be divided in two parts, 972469 and 8720, that added together give a palindrome (981189).

The spelling of 9724698720 in words is "nine billion, seven hundred twenty-four million, six hundred ninety-eight thousand, seven hundred twenty".