6867891864960 has 1024 divisors, whose sum is σ = 25786450206720. Its totient is φ = 1522644811776.

The previous prime is 6867891864959. The next prime is 6867891864991. The reversal of 6867891864960 is 694681987686.

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 127 ways as a sum of consecutive naturals, for example, 19455784144 + ... + 19455784496.

It is an arithmetic number, because the mean of its divisors is an integer number (25182080280).

Almost surely, 2^{6867891864960} is an apocalyptic number.

6867891864960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6867891864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12893225103360).

6867891864960 is an abundant number, since it is smaller than the sum of its proper divisors (18918558341760).

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

6867891864960 is a wasteful number, since it uses less digits than its factorization.

6867891864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 78.

The spelling of 6867891864960 in words is "six trillion, eight hundred sixty-seven billion, eight hundred ninety-one million, eight hundred sixty-four thousand, nine hundred sixty".