9965030624 has 192 divisors, whose sum is σ = 22835312640. Its totient is φ = 4250050560.

The previous prime is 9965030611. The next prime is 9965030627. The reversal of 9965030624 is 4260305699.

It is a Cunningham number, because it is equal to 99825²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965030627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27152489 + ... + 27152855.

It is an arithmetic number, because the mean of its divisors is an integer number (118933920).

Almost surely, 2^9965030624 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 9965030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11417656320).

9965030624 is an abundant number, since it is smaller than the sum of its proper divisors (12870282016).

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

9965030624 is a wasteful number, since it uses less digits than its factorization.

9965030624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The square root of 9965030624 is about 99824.9999949912. Note that the first 5 decimals coincide. The cubic root of 9965030624 is about 2151.9204491445.

The spelling of 9965030624 in words is "nine billion, nine hundred sixty-five million, thirty thousand, six hundred twenty-four".