9965675808 has 192 divisors, whose sum is σ = 33574746240. Its totient is φ = 2842214400.

The previous prime is 9965675683. The next prime is 9965675809. The reversal of 9965675808 is 8085765699.

It is not an unprimeable number, because it can be changed into a prime (9965675809) 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, 130728 + ... + 192408.

It is an arithmetic number, because the mean of its divisors is an integer number (174868470).

Almost surely, 2^9965675808 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 9965675808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787373120).

9965675808 is an abundant number, since it is smaller than the sum of its proper divisors (23609070432).

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

9965675808 is a wasteful number, since it uses less digits than its factorization.

9965675808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61728 (or 61714 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 9965675808 is about 99828.2315179429. The cubic root of 9965675808 is about 2151.9668900348.

The spelling of 9965675808 in words is "nine billion, nine hundred sixty-five million, six hundred seventy-five thousand, eight hundred eight".