6828654871200 has 144 divisors (see below), whose sum is σ = 22234781257920. Its totient is φ = 1820359403520.

The previous prime is 6828654871187. The next prime is 6828654871249. The reversal of 6828654871200 is 21784568286.

It is a super-3 number, since 3×6828654871200³ (a number of 39 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6646437 + ... + 7604763.

It is an arithmetic number, because the mean of its divisors is an integer number (154408203180).

Almost surely, 2^{6828654871200} is an apocalyptic number.

6828654871200 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 6828654871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117390628960).

6828654871200 is an abundant number, since it is smaller than the sum of its proper divisors (15406126386720).

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

6828654871200 is a wasteful number, since it uses less digits than its factorization.

6828654871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961319 (or 961306 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 6828654871200 in words is "six trillion, eight hundred twenty-eight billion, six hundred fifty-four million, eight hundred seventy-one thousand, two hundred".