6706218063168 has 448 divisors, whose sum is σ = 21342202801920. Its totient is φ = 2052732616704.

The previous prime is 6706218063091. The next prime is 6706218063299. The reversal of 6706218063168 is 8613608126076.

6706218063168 is a `hidden beast` number, since 6 + 7 + 0 + 621 + 8 + 0 + 6 + 3 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×6706218063168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5170560696 + ... + 5170561992.

It is an arithmetic number, because the mean of its divisors is an integer number (47638845540).

Almost surely, 2^{6706218063168} 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 6706218063168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671101400960).

6706218063168 is an abundant number, since it is smaller than the sum of its proper divisors (14635984738752).

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

6706218063168 is a wasteful number, since it uses less digits than its factorization.

6706218063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 6706218063168 in words is "six trillion, seven hundred six billion, two hundred eighteen million, sixty-three thousand, one hundred sixty-eight".