9728597474800 has 120 divisors (see below), whose sum is σ = 23579702137296. Its totient is φ = 3857104312320.

The previous prime is 9728597474797. The next prime is 9728597474803. The reversal of 9728597474800 is 84747958279.

It is an interprime number because it is at equal distance from previous prime (9728597474797) and next prime (9728597474803).

It is a self number, because there is not a number n which added to its sum of digits gives 9728597474800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728597474803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35648467 + ... + 35920333.

Almost surely, 2^{9728597474800} 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 9728597474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11789851068648).

9728597474800 is an abundant number, since it is smaller than the sum of its proper divisors (13851104662496).

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

9728597474800 is a wasteful number, since it uses less digits than its factorization.

9728597474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272675 (or 272664 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 70.

The spelling of 9728597474800 in words is "nine trillion, seven hundred twenty-eight billion, five hundred ninety-seven million, four hundred seventy-four thousand, eight hundred".