6806419088000 has 768 divisors, whose sum is σ = 20352720960000. Its totient is φ = 2255662080000.

The previous prime is 6806419087981. The next prime is 6806419088011. The reversal of 6806419088000 is 8809146086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 6806419088000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3404911001 + ... + 3404912999.

It is an arithmetic number, because the mean of its divisors is an integer number (26500938750).

Almost surely, 2^{6806419088000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6806419088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10176360480000).

6806419088000 is an abundant number, since it is smaller than the sum of its proper divisors (13546301872000).

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

6806419088000 is a wasteful number, since it uses less digits than its factorization.

6806419088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 6806419088000 in words is "six trillion, eight hundred six billion, four hundred nineteen million, eighty-eight thousand".