9916794240 has 128 divisors (see below), whose sum is σ = 31905861120. Its totient is φ = 2619709440.

The previous prime is 9916794221. The next prime is 9916794253. The reversal of 9916794240 is 424976199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 181305 + ... + 229575.

It is an arithmetic number, because the mean of its divisors is an integer number (249264540).

Almost surely, 2^9916794240 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 9916794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15952930560).

9916794240 is an abundant number, since it is smaller than the sum of its proper divisors (21989066880).

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

9916794240 is a wasteful number, since it uses less digits than its factorization.

9916794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48400 (or 48388 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 9916794240 is about 99583.1021810427. The cubic root of 9916794240 is about 2148.4426609382.

The spelling of 9916794240 in words is "nine billion, nine hundred sixteen million, seven hundred ninety-four thousand, two hundred forty".