9768220416 has 216 divisors, whose sum is σ = 29807406720. Its totient is φ = 3067987968.

The previous prime is 9768220369. The next prime is 9768220433. The reversal of 9768220416 is 6140228679.

It is a happy number.

9768220416 is a `hidden beast` number, since 9 + 7 + 6 + 8 + 220 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9936661 + ... + 9937643.

Almost surely, 2^9768220416 is an apocalyptic number.

9768220416 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 9768220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903703360).

9768220416 is an abundant number, since it is smaller than the sum of its proper divisors (20039186304).

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

9768220416 is a wasteful number, since it uses less digits than its factorization.

9768220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9768220416 is about 98834.3078895178. The cubic root of 9768220416 is about 2137.6592754608.

The spelling of 9768220416 in words is "nine billion, seven hundred sixty-eight million, two hundred twenty thousand, four hundred sixteen".