6817144222080 has 256 divisors, whose sum is σ = 25414793280000. Its totient is φ = 1722225825792.

The previous prime is 6817144222073. The next prime is 6817144222081. The reversal of 6817144222080 is 802224417186.

6817144222080 is a `hidden beast` number, since 6 + 8 + 1 + 7 + 14 + 422 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6817144222081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10053540 + ... + 10710179.

It is an arithmetic number, because the mean of its divisors is an integer number (99276536250).

Almost surely, 2^{6817144222080} is an apocalyptic number.

6817144222080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6817144222080 is an abundant number, since it is smaller than the sum of its proper divisors (18597649057920).

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

6817144222080 is a wasteful number, since it uses less digits than its factorization.

6817144222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20763766 (or 20763748 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 6817144222080 in words is "six trillion, eight hundred seventeen billion, one hundred forty-four million, two hundred twenty-two thousand, eighty".