9865797984 has 216 divisors, whose sum is σ = 32844291480. Its totient is φ = 2800852992.

The previous prime is 9865797917. The next prime is 9865798091. The reversal of 9865797984 is 4897975689.

It is a super-2 number, since 2×9865797984² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2298112 + ... + 2302400.

It is an arithmetic number, because the mean of its divisors is an integer number (152056905).

Almost surely, 2^9865797984 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 9865797984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422145740).

9865797984 is an abundant number, since it is smaller than the sum of its proper divisors (22978493496).

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

9865797984 is a wasteful number, since it uses less digits than its factorization.

9865797984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4464 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The square root of 9865797984 is about 99326.7234131883. The cubic root of 9865797984 is about 2144.7536033339.

The spelling of 9865797984 in words is "nine billion, eight hundred sixty-five million, seven hundred ninety-seven thousand, nine hundred eighty-four".