9865304064 has 576 divisors, whose sum is σ = 37197014400. Its totient is φ = 2554675200.

The previous prime is 9865304047. The next prime is 9865304077. The reversal of 9865304064 is 4604035689.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29804379 + ... + 29804709.

It is an arithmetic number, because the mean of its divisors is an integer number (64578150).

Almost surely, 2^9865304064 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 9865304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18598507200).

9865304064 is an abundant number, since it is smaller than the sum of its proper divisors (27331710336).

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

9865304064 is a wasteful number, since it uses less digits than its factorization.

9865304064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9865304064 is about 99324.2370421238. The cubic root of 9865304064 is about 2144.7178111834.

The spelling of 9865304064 in words is "nine billion, eight hundred sixty-five million, three hundred four thousand, sixty-four".