9724169089600 has 945 divisors, whose sum is σ = 29371304450187. Its totient is φ = 3168453335040.

The previous prime is 9724169089597. The next prime is 9724169089619. The reversal of 9724169089600 is 69809614279.

The square root of 9724169089600 is 3118360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 923121267264 + 8801047822336 = 960792^2 + 2966656^2 .

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 134 ways as a sum of consecutive naturals, for example, 226143467179 + ... + 226143467221.

Almost surely, 2^{9724169089600} is an apocalyptic number.

9724169089600 is the 3118360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9724169089600

9724169089600 is an abundant number, since it is smaller than the sum of its proper divisors (19647135360587).

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

9724169089600 is an frugal number, since it uses more digits than its factorization.

9724169089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 61.

The spelling of 9724169089600 in words is "nine trillion, seven hundred twenty-four billion, one hundred sixty-nine million, eighty-nine thousand, six hundred".