9724339886976 has 768 divisors, whose sum is σ = 33842647238400. Its totient is φ = 2656509972480.

The previous prime is 9724339886959. The next prime is 9724339886983. The reversal of 9724339886976 is 6796889334279.

9724339886976 is a `hidden beast` number, since 9 + 7 + 2 + 433 + 98 + 8 + 6 + 97 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9724339886895 and 9724339886904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1197132451 + ... + 1197140573.

It is an arithmetic number, because the mean of its divisors is an integer number (44065946925).

Almost surely, 2^{9724339886976} is an apocalyptic number.

9724339886976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9724339886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921323619200).

9724339886976 is an abundant number, since it is smaller than the sum of its proper divisors (24118307351424).

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

9724339886976 is a wasteful number, since it uses less digits than its factorization.

9724339886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8195 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 9724339886976 in words is "nine trillion, seven hundred twenty-four billion, three hundred thirty-nine million, eight hundred eighty-six thousand, nine hundred seventy-six".