6867352728000 has 672 divisors, whose sum is σ = 25213689813312. Its totient is φ = 1783160832000.

The previous prime is 6867352727957. The next prime is 6867352728001. The reversal of 6867352728000 is 8272537686.

6867352728000 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 352 + 7 + 280 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6867352728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1750534039 + ... + 1750537961.

It is an arithmetic number, because the mean of its divisors is an integer number (37520371746).

Almost surely, 2^{6867352728000} is an apocalyptic number.

6867352728000 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 6867352728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606844906656).

6867352728000 is an abundant number, since it is smaller than the sum of its proper divisors (18346337085312).

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

6867352728000 is a wasteful number, since it uses less digits than its factorization.

6867352728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 6867352728000 in words is "six trillion, eight hundred sixty-seven billion, three hundred fifty-two million, seven hundred twenty-eight thousand".