9969568224 has 288 divisors, whose sum is σ = 34658378496. Its totient is φ = 2476615680.

The previous prime is 9969568183. The next prime is 9969568229. The reversal of 9969568224 is 4228659699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9969568229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185924 + ... + 1194300.

It is an arithmetic number, because the mean of its divisors is an integer number (120341592).

Almost surely, 2^9969568224 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 9969568224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329189248).

9969568224 is an abundant number, since it is smaller than the sum of its proper divisors (24688810272).

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

9969568224 is a wasteful number, since it uses less digits than its factorization.

9969568224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438 (or 8423 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The square root of 9969568224 is about 99847.7251818989. The cubic root of 9969568224 is about 2152.2470269166.

The spelling of 9969568224 in words is "nine billion, nine hundred sixty-nine million, five hundred sixty-eight thousand, two hundred twenty-four".