9984443262976 has 384 divisors, whose sum is σ = 25272898560000. Its totient is φ = 3918332952576.

The previous prime is 9984443262973. The next prime is 9984443263001. The reversal of 9984443262976 is 6792623444899.

It is a junction number, because it is equal to n+sod(n) for n = 9984443262899 and 9984443262908.

It is not an unprimeable number, because it can be changed into a prime (9984443262973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159763760 + ... + 1159772368.

It is an arithmetic number, because the mean of its divisors is an integer number (65814840000).

Almost surely, 2^{9984443262976} 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 9984443262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636449280000).

9984443262976 is an abundant number, since it is smaller than the sum of its proper divisors (15288455297024).

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

9984443262976 is a wasteful number, since it uses less digits than its factorization.

9984443262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8758 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 73.

The spelling of 9984443262976 in words is "nine trillion, nine hundred eighty-four billion, four hundred forty-three million, two hundred sixty-two thousand, nine hundred seventy-six".