9668024224 has 48 divisors (see below), whose sum is σ = 19816315848. Its totient is φ = 4638892032.

The previous prime is 9668024213. The next prime is 9668024231. The reversal of 9668024224 is 4224208669.

It can be written as a sum of positive squares in 4 ways, for example, as 8438259600 + 1229764624 = 91860^2 + 35068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30504 + ... + 142360.

Almost surely, 2^9668024224 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 9668024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9908157924).

9668024224 is an abundant number, since it is smaller than the sum of its proper divisors (10148291624).

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

9668024224 is a wasteful number, since it uses less digits than its factorization.

9668024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111977 (or 111969 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 9668024224 is about 98326.1116082600. Note that the first 3 decimals coincide. The cubic root of 9668024224 is about 2130.3252256008.

The spelling of 9668024224 in words is "nine billion, six hundred sixty-eight million, twenty-four thousand, two hundred twenty-four".