9744028496832 has 448 divisors, whose sum is σ = 30530966721536. Its totient is φ = 2684638494720.

The previous prime is 9744028496801. The next prime is 9744028496887. The reversal of 9744028496832 is 2386948204479.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3567932907 + ... + 3567935637.

Almost surely, 2^{9744028496832} 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 9744028496832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265483360768).

9744028496832 is an abundant number, since it is smaller than the sum of its proper divisors (20786938224704).

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

9744028496832 is a wasteful number, since it uses less digits than its factorization.

9744028496832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 9744028496832 in words is "nine trillion, seven hundred forty-four billion, twenty-eight million, four hundred ninety-six thousand, eight hundred thirty-two".