6810218944164 has 144 divisors (see below), whose sum is σ = 17863982136000. Its totient is φ = 2185974024192.

The previous prime is 6810218944117. The next prime is 6810218944183. The reversal of 6810218944164 is 4614498120186.

6810218944164 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 218 + 9 + 4 + 416 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6810218944164.

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 47 ways as a sum of consecutive naturals, for example, 294815887 + ... + 294838985.

It is an arithmetic number, because the mean of its divisors is an integer number (124055431500).

Almost surely, 2^{6810218944164} 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 6810218944164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931991068000).

6810218944164 is an abundant number, since it is smaller than the sum of its proper divisors (11053763191836).

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

6810218944164 is a wasteful number, since it uses less digits than its factorization.

6810218944164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25834 (or 25829 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 6810218944164 in words is "six trillion, eight hundred ten billion, two hundred eighteen million, nine hundred forty-four thousand, one hundred sixty-four".