9722716416 has 360 divisors, whose sum is σ = 33833923200. Its totient is φ = 2775886848.

The previous prime is 9722716391. The next prime is 9722716447. The reversal of 9722716416 is 6146172279.

9722716416 is a `hidden beast` number, since 9 + 7 + 227 + 1 + 6 + 416 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7111765 + ... + 7113131.

It is an arithmetic number, because the mean of its divisors is an integer number (93983120).

Almost surely, 2^9722716416 is an apocalyptic number.

9722716416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9722716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916961600).

9722716416 is an abundant number, since it is smaller than the sum of its proper divisors (24111206784).

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

9722716416 is an equidigital number, since it uses as much as digits as its factorization.

9722716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1379 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 9722716416 is about 98603.8357063253. The cubic root of 9722716416 is about 2134.3347708001.

The spelling of 9722716416 in words is "nine billion, seven hundred twenty-two million, seven hundred sixteen thousand, four hundred sixteen".