9965209408 has 448 divisors, whose sum is σ = 27397472256. Its totient is φ = 3483648000.

The previous prime is 9965209403. The next prime is 9965209409. The reversal of 9965209408 is 8049025699.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965209403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231749035 + ... + 231749077.

It is an arithmetic number, because the mean of its divisors is an integer number (61155072).

Almost surely, 2^9965209408 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 9965209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698736128).

9965209408 is an abundant number, since it is smaller than the sum of its proper divisors (17432262848).

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

9965209408 is a wasteful number, since it uses less digits than its factorization.

9965209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The square root of 9965209408 is about 99825.8954780772. The cubic root of 9965209408 is about 2151.9333183689.

The spelling of 9965209408 in words is "nine billion, nine hundred sixty-five million, two hundred nine thousand, four hundred eight".