984321334009728 has 2560 divisors, whose sum is σ = 3746884280832000. Its totient is φ = 251926275686400.

The previous prime is 984321334009723. The next prime is 984321334009817. The reversal of 984321334009728 is 827900433123489.

984321334009728 is a `hidden beast` number, since 9 + 8 + 4 + 3 + 2 + 133 + 400 + 97 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984321334009723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 661062010008 + ... + 661062011496.

It is an arithmetic number, because the mean of its divisors is an integer number (1463626672200).

Almost surely, 2^{984321334009728} 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 984321334009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873442140416000).

984321334009728 is an abundant number, since it is smaller than the sum of its proper divisors (2762562946822272).

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

984321334009728 is a wasteful number, since it uses less digits than its factorization.

984321334009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 984321334009728 in words is "nine hundred eighty-four trillion, three hundred twenty-one billion, three hundred thirty-four million, nine thousand, seven hundred twenty-eight".