9007216768 has 96 divisors (see below), whose sum is σ = 20003880960. Its totient is φ = 4036032000.

The previous prime is 9007216753. The next prime is 9007216789. The reversal of 9007216768 is 8676127009.

It is a happy number.

It is a super-2 number, since 2×9007216768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1095553 + ... + 1103743.

It is an arithmetic number, because the mean of its divisors is an integer number (208373760).

Almost surely, 2^9007216768 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 9007216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10001940480).

9007216768 is an abundant number, since it is smaller than the sum of its proper divisors (10996664192).

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

9007216768 is a wasteful number, since it uses less digits than its factorization.

9007216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 9007216768 is about 94906.3578902910. The cubic root of 9007216768 is about 2080.6396553398.

The spelling of 9007216768 in words is "nine billion, seven million, two hundred sixteen thousand, seven hundred sixty-eight".