9703242008320 has 288 divisors, whose sum is σ = 27869032267776. Its totient is φ = 3166724505600.

The previous prime is 9703242008311. The next prime is 9703242008323. The reversal of 9703242008320 is 238002423079.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9703242008323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16657017 + ... + 17229703.

It is an arithmetic number, because the mean of its divisors is an integer number (96767473152).

Almost surely, 2^{9703242008320} 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 9703242008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934516133888).

9703242008320 is an abundant number, since it is smaller than the sum of its proper divisors (18165790259456).

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

9703242008320 is a wasteful number, since it uses less digits than its factorization.

9703242008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572807 (or 572793 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 9703242008320 in words is "nine trillion, seven hundred three billion, two hundred forty-two million, eight thousand, three hundred twenty".