9719668224 has 300 divisors, whose sum is σ = 33754138704. Its totient is φ = 2776467456.

The previous prime is 9719668193. The next prime is 9719668243. The reversal of 9719668224 is 4228669179.

It is a super-3 number, since 3×9719668224³ (a number of 31 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2029737 + ... + 2034519.

Almost surely, 2^9719668224 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 9719668224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16877069352).

9719668224 is an abundant number, since it is smaller than the sum of its proper divisors (24034470480).

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

9719668224 is an equidigital number, since it uses as much as digits as its factorization.

9719668224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4795 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9719668224 is about 98588.3777328748. The cubic root of 9719668224 is about 2134.1117006928. Note that the first 3 decimals are identical.

The spelling of 9719668224 in words is "nine billion, seven hundred nineteen million, six hundred sixty-eight thousand, two hundred twenty-four".