9644289421824 has 800 divisors, whose sum is σ = 31280657284800. Its totient is φ = 2948241162240.

The previous prime is 9644289421817. The next prime is 9644289421849. The reversal of 9644289421824 is 4281249824469.

9644289421824 is a `hidden beast` number, since 9 + 6 + 442 + 8 + 9 + 4 + 2 + 182 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4426015167 + ... + 4426017345.

It is an arithmetic number, because the mean of its divisors is an integer number (39100821606).

Almost surely, 2^{9644289421824} 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 9644289421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640328642400).

9644289421824 is an abundant number, since it is smaller than the sum of its proper divisors (21636367862976).

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

9644289421824 is a wasteful number, since it uses less digits than its factorization.

9644289421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2381 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 9644289421824 in words is "nine trillion, six hundred forty-four billion, two hundred eighty-nine million, four hundred twenty-one thousand, eight hundred twenty-four".