3192163872768 has 1040 divisors, whose sum is σ = 10718365945056. Its totient is φ = 940226641920.

The previous prime is 3192163872661. The next prime is 3192163872773. The reversal of 3192163872768 is 8672783612913.

3192163872768 is a `hidden beast` number, since 3 + 19 + 216 + 387 + 27 + 6 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 13245493128 + ... + 13245493368.

Almost surely, 2^{3192163872768} 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 3192163872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359182972528).

3192163872768 is an abundant number, since it is smaller than the sum of its proper divisors (7526202072288).

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

3192163872768 is a wasteful number, since it uses less digits than its factorization.

3192163872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 379 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 3192163872768 in words is "three trillion, one hundred ninety-two billion, one hundred sixty-three million, eight hundred seventy-two thousand, seven hundred sixty-eight".