9944192772 has 216 divisors, whose sum is σ = 28568816640. Its totient is φ = 3014910720.

The previous prime is 9944192719. The next prime is 9944192777. The reversal of 9944192772 is 2772914499.

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

It is not an unprimeable number, because it can be changed into a prime (9944192777) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 13830229 + ... + 13830947.

It is an arithmetic number, because the mean of its divisors is an integer number (132263040).

Almost surely, 2^9944192772 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 9944192772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284408320).

9944192772 is an abundant number, since it is smaller than the sum of its proper divisors (18624623868).

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

9944192772 is a wasteful number, since it uses less digits than its factorization.

9944192772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 772 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 9944192772 is about 99720.5734640550. The cubic root of 9944192772 is about 2150.4194438188.

The spelling of 9944192772 in words is "nine billion, nine hundred forty-four million, one hundred ninety-two thousand, seven hundred seventy-two".