9936748224 has 448 divisors, whose sum is σ = 32844922880. Its totient is φ = 2962842624.

The previous prime is 9936748219. The next prime is 9936748243. The reversal of 9936748224 is 4228476399.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5225472) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78242049 + ... + 78242175.

It is an arithmetic number, because the mean of its divisors is an integer number (73314560).

Almost surely, 2^9936748224 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 9936748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422461440).

9936748224 is an abundant number, since it is smaller than the sum of its proper divisors (22908174656).

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

9936748224 is a wasteful number, since it uses less digits than its factorization.

9936748224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 9936748224 is about 99683.2394337182. The cubic root of 9936748224 is about 2149.8826850717.

The spelling of 9936748224 in words is "nine billion, nine hundred thirty-six million, seven hundred forty-eight thousand, two hundred twenty-four".