9936238752400 has 75 divisors (see below), whose sum is σ = 23932095960221. Its totient is φ = 3964484177280.

The previous prime is 9936238752383. The next prime is 9936238752439. The reversal of 9936238752400 is 42578326399.

The square root of 9936238752400 is 3152180.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2984283890064 + 6951954862336 = 1727508^2 + 2636656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25028309002 + ... + 25028309398.

Almost surely, 2^{9936238752400} is an apocalyptic number.

9936238752400 is the 3152180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9936238752400

9936238752400 is an abundant number, since it is smaller than the sum of its proper divisors (13995857207821).

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

9936238752400 is an frugal number, since it uses more digits than its factorization.

9936238752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 9936238752400 in words is "nine trillion, nine hundred thirty-six billion, two hundred thirty-eight million, seven hundred fifty-two thousand, four hundred".