6836081208000 has 1792 divisors, whose sum is σ = 27055069396992. Its totient is φ = 1502085120000.

The previous prime is 6836081207981. The next prime is 6836081208079. The reversal of 6836081208000 is 8021806386.

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 255 ways as a sum of consecutive naturals, for example, 17848775809 + ... + 17848776191.

It is an arithmetic number, because the mean of its divisors is an integer number (15097694976).

Almost surely, 2^{6836081208000} is an apocalyptic number.

6836081208000 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 6836081208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527534698496).

6836081208000 is an abundant number, since it is smaller than the sum of its proper divisors (20218988188992).

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

6836081208000 is a wasteful number, since it uses less digits than its factorization.

6836081208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 6836081208000 in words is "six trillion, eight hundred thirty-six billion, eighty-one million, two hundred eight thousand".