6816787655040 has 768 divisors, whose sum is σ = 27223451274240. Its totient is φ = 1553414553600.

The previous prime is 6816787655009. The next prime is 6816787655059. The reversal of 6816787655040 is 405567876186.

6816787655040 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 7 + 8 + 76 + 550 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981252847 + ... + 981259793.

It is an arithmetic number, because the mean of its divisors is an integer number (35447202180).

Almost surely, 2^{6816787655040} is an apocalyptic number.

6816787655040 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 6816787655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611725637120).

6816787655040 is an abundant number, since it is smaller than the sum of its proper divisors (20406663619200).

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

6816787655040 is a wasteful number, since it uses less digits than its factorization.

6816787655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7911 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 6816787655040 in words is "six trillion, eight hundred sixteen billion, seven hundred eighty-seven million, six hundred fifty-five thousand, forty".