9640788523008 has 768 divisors, whose sum is σ = 28507301222400. Its totient is φ = 2889366896640.

The previous prime is 9640788522941. The next prime is 9640788523033. The reversal of 9640788523008 is 8003258870469.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 14763841210 + ... + 14763841862.

It is an arithmetic number, because the mean of its divisors is an integer number (37118881800).

Almost surely, 2^{9640788523008} 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 9640788523008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14253650611200).

9640788523008 is an abundant number, since it is smaller than the sum of its proper divisors (18866512699392).

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

9640788523008 is a wasteful number, since it uses less digits than its factorization.

9640788523008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 9640788523008 in words is "nine trillion, six hundred forty billion, seven hundred eighty-eight million, five hundred twenty-three thousand, eight".