6879567603168 has 144 divisors (see below), whose sum is σ = 21073341403296. Its totient is φ = 2116321274880.

The previous prime is 6879567603163. The next prime is 6879567603221. The reversal of 6879567603168 is 8613067659786.

6879567603168 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 5 + 6 + 7 + 603 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 6879567603096 and 6879567603105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6879567603163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16897678 + ... + 17300018.

It is an arithmetic number, because the mean of its divisors is an integer number (146342648634).

Almost surely, 2^{6879567603168} 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 6879567603168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536670701648).

6879567603168 is an abundant number, since it is smaller than the sum of its proper divisors (14193773800128).

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

6879567603168 is a wasteful number, since it uses less digits than its factorization.

6879567603168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406937 (or 406926 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 6879567603168 in words is "six trillion, eight hundred seventy-nine billion, five hundred sixty-seven million, six hundred three thousand, one hundred sixty-eight".