9740068072224 has 288 divisors, whose sum is σ = 31028374702080. Its totient is φ = 2620224474624.

The previous prime is 9740068072219. The next prime is 9740068072261. The reversal of 9740068072224 is 4222708600479.

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 47 ways as a sum of consecutive naturals, for example, 39419337 + ... + 39665655.

It is an arithmetic number, because the mean of its divisors is an integer number (107737412160).

Almost surely, 2^{9740068072224} 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 9740068072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514187351040).

9740068072224 is an abundant number, since it is smaller than the sum of its proper divisors (21288306629856).

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

9740068072224 is a wasteful number, since it uses less digits than its factorization.

9740068072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246540 (or 246513 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 9740068072224 in words is "nine trillion, seven hundred forty billion, sixty-eight million, seventy-two thousand, two hundred twenty-four".