9973809240 has 256 divisors, whose sum is σ = 32606945280. Its totient is φ = 2433699840.

The previous prime is 9973809191. The next prime is 9973809259. The reversal of 9973809240 is 429083799.

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 63 ways as a sum of consecutive naturals, for example, 5996649 + ... + 5998311.

It is an arithmetic number, because the mean of its divisors is an integer number (127370880).

Almost surely, 2^9973809240 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 9973809240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

9973809240 is an abundant number, since it is smaller than the sum of its proper divisors (22633136040).

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

9973809240 is a wasteful number, since it uses less digits than its factorization.

9973809240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

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

The square root of 9973809240 is about 99868.9603430415. The cubic root of 9973809240 is about 2152.5521695226.

The spelling of 9973809240 in words is "nine billion, nine hundred seventy-three million, eight hundred nine thousand, two hundred forty".