9724805721600 has 240 divisors, whose sum is σ = 32129541375360. Its totient is φ = 2592938188800.

The previous prime is 9724805721557. The next prime is 9724805721607. The reversal of 9724805721600 is 61275084279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9724805721607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441243381 + ... + 441265419.

It is an arithmetic number, because the mean of its divisors is an integer number (133873089064).

Almost surely, 2^{9724805721600} 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 9724805721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16064770687680).

9724805721600 is an abundant number, since it is smaller than the sum of its proper divisors (22404735653760).

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

9724805721600 is a wasteful number, since it uses less digits than its factorization.

9724805721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33561 (or 33540 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 9724805721600 in words is "nine trillion, seven hundred twenty-four billion, eight hundred five million, seven hundred twenty-one thousand, six hundred".