9973330416 has 240 divisors, whose sum is σ = 34150258688. Its totient is φ = 2757369600.

The previous prime is 9973330363. The next prime is 9973330417. The reversal of 9973330416 is 6140333799.

It is a happy number.

9973330416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973330417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837786 + ... + 849606.

Almost surely, 2^9973330416 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 9973330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075129344).

9973330416 is an abundant number, since it is smaller than the sum of its proper divisors (24176928272).

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

9973330416 is a wasteful number, since it uses less digits than its factorization.

9973330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 9973330416 is about 99866.5630529058. The cubic root of 9973330416 is about 2152.5177222982.

The spelling of 9973330416 in words is "nine billion, nine hundred seventy-three million, three hundred thirty thousand, four hundred sixteen".