9683375643648 has 264 divisors, whose sum is σ = 32006654875520. Its totient is φ = 2762197770240.

The previous prime is 9683375643577. The next prime is 9683375643701. The reversal of 9683375643648 is 8463465733869.

9683375643648 is a `hidden beast` number, since 9 + 6 + 83 + 3 + 75 + 6 + 436 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 39811683 + ... + 40054173.

Almost surely, 2^{9683375643648} 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 9683375643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003327437760).

9683375643648 is an abundant number, since it is smaller than the sum of its proper divisors (22323279231872).

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

9683375643648 is a wasteful number, since it uses less digits than its factorization.

9683375643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243143 (or 243122 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 9683375643648 in words is "nine trillion, six hundred eighty-three billion, three hundred seventy-five million, six hundred forty-three thousand, six hundred forty-eight".