9456772416 has 448 divisors, whose sum is σ = 33017886720. Its totient is φ = 2319114240.

The previous prime is 9456772399. The next prime is 9456772421. The reversal of 9456772416 is 6142776549.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20249815 + ... + 20250281.

It is an arithmetic number, because the mean of its divisors is an integer number (73700640).

Almost surely, 2^9456772416 is an apocalyptic number.

9456772416 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 9456772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508943360).

9456772416 is an abundant number, since it is smaller than the sum of its proper divisors (23561114304).

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

9456772416 is a wasteful number, since it uses less digits than its factorization.

9456772416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 9456772416 is about 97245.9377866243. The cubic root of 9456772416 is about 2114.6945491630.

The spelling of 9456772416 in words is "nine billion, four hundred fifty-six million, seven hundred seventy-two thousand, four hundred sixteen".