875646168768 has 168 divisors, whose sum is σ = 2974674906112. Its totient is φ = 250184588544.

The previous prime is 875646168751. The next prime is 875646168829. The reversal of 875646168768 is 867861646578.

875646168768 is a `hidden beast` number, since 87 + 5 + 6 + 461 + 6 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 875646168696 and 875646168705.

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, 3912880 + ... + 4130607.

Almost surely, 2^875646168768 is an apocalyptic number.

It is an amenable number.

875646168768 is an abundant number, since it is smaller than the sum of its proper divisors (2099028737344).

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

875646168768 is an equidigital number, since it uses as much as digits as its factorization.

875646168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043521 (or 8043499 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 875646168768 in words is "eight hundred seventy-five billion, six hundred forty-six million, one hundred sixty-eight thousand, seven hundred sixty-eight".