9945928784 has 160 divisors (see below), whose sum is σ = 22665692160. Its totient is φ = 4180377600.

The previous prime is 9945928771. The next prime is 9945928799. The reversal of 9945928784 is 4878295499.

It is a self number, because there is not a number n which added to its sum of digits gives 9945928784.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38699984 + ... + 38700240.

It is an arithmetic number, because the mean of its divisors is an integer number (141660576).

Almost surely, 2^9945928784 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 9945928784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332846080).

9945928784 is an abundant number, since it is smaller than the sum of its proper divisors (12719763376).

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

9945928784 is a wasteful number, since it uses less digits than its factorization.

9945928784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 65.

The square root of 9945928784 is about 99729.2774665494. The cubic root of 9945928784 is about 2150.5445733568.

The spelling of 9945928784 in words is "nine billion, nine hundred forty-five million, nine hundred twenty-eight thousand, seven hundred eighty-four".