9869865984 has 704 divisors, whose sum is σ = 35655137280. Its totient is φ = 2660106240.

The previous prime is 9869865983. The next prime is 9869865991. The reversal of 9869865984 is 4895689689.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9869865983) 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, 118914007 + ... + 118914089.

Almost surely, 2^9869865984 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 9869865984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827568640).

9869865984 is an abundant number, since it is smaller than the sum of its proper divisors (25785271296).

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

9869865984 is a wasteful number, since it uses less digits than its factorization.

9869865984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The square root of 9869865984 is about 99347.1991754171. The cubic root of 9869865984 is about 2145.0483474848.

The spelling of 9869865984 in words is "nine billion, eight hundred sixty-nine million, eight hundred sixty-five thousand, nine hundred eighty-four".