6826868885760 has 1152 divisors, whose sum is σ = 28321810513920. Its totient is φ = 1360016179200.

The previous prime is 6826868885743. The next prime is 6826868885773. The reversal of 6826868885760 is 675888686286.

It is a super-2 number, since 2×6826868885760² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 999099304 + ... + 999106136.

It is an arithmetic number, because the mean of its divisors is an integer number (24584904960).

Almost surely, 2^{6826868885760} is an apocalyptic number.

6826868885760 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 6826868885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160905256960).

6826868885760 is an abundant number, since it is smaller than the sum of its proper divisors (21494941628160).

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

6826868885760 is a wasteful number, since it uses less digits than its factorization.

6826868885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7015 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 2972712960, while the sum is 78.

It can be divided in two parts, 6826868 and 885760, that added together give a triangular number (7712628 = T₃₉₂₇).

The spelling of 6826868885760 in words is "six trillion, eight hundred twenty-six billion, eight hundred sixty-eight million, eight hundred eighty-five thousand, seven hundred sixty".