9866584960 has 64 divisors (see below), whose sum is σ = 23820998400. Its totient is φ = 3907532800.

The previous prime is 9866584913. The next prime is 9866584963. The reversal of 9866584960 is 694856689.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9866584963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11680 + ... + 140959.

It is an arithmetic number, because the mean of its divisors is an integer number (372203100).

Almost surely, 2^9866584960 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 9866584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910499200).

9866584960 is an abundant number, since it is smaller than the sum of its proper divisors (13954413440).

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

9866584960 is a wasteful number, since it uses less digits than its factorization.

9866584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152759 (or 152747 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The square root of 9866584960 is about 99330.6848863935. The cubic root of 9866584960 is about 2144.8106294605.

The spelling of 9866584960 in words is "nine billion, eight hundred sixty-six million, five hundred eighty-four thousand, nine hundred sixty".