9984893664 has 96 divisors (see below), whose sum is σ = 27095233536. Its totient is φ = 3216245760.

The previous prime is 9984893663. The next prime is 9984893669. The reversal of 9984893664 is 4663984899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9984893595 and 9984893604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984893663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2459124 + ... + 2463180.

It is an arithmetic number, because the mean of its divisors is an integer number (282242016).

Almost surely, 2^9984893664 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 9984893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547616768).

9984893664 is an abundant number, since it is smaller than the sum of its proper divisors (17110339872).

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

9984893664 is a wasteful number, since it uses less digits than its factorization.

9984893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4920 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 66.

The square root of 9984893664 is about 99924.4397732607. The cubic root of 9984893664 is about 2153.3492894902.

The spelling of 9984893664 in words is "nine billion, nine hundred eighty-four million, eight hundred ninety-three thousand, six hundred sixty-four".