6647852568168 has 384 divisors, whose sum is σ = 22556072448000. Its totient is φ = 1791873135360.

The previous prime is 6647852568167. The next prime is 6647852568193. The reversal of 6647852568168 is 8618652587466.

6647852568168 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 8 + 52 + 568 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6647852568096 and 6647852568105.

It is not an unprimeable number, because it can be changed into a prime (6647852568167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 61740138 + ... + 61847718.

It is an arithmetic number, because the mean of its divisors is an integer number (58739772000).

Almost surely, 2^{6647852568168} 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 6647852568168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278036224000).

6647852568168 is an abundant number, since it is smaller than the sum of its proper divisors (15908219879832).

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

6647852568168 is a wasteful number, since it uses less digits than its factorization.

6647852568168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107867 (or 107851 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 6647852568168 in words is "six trillion, six hundred forty-seven billion, eight hundred fifty-two million, five hundred sixty-eight thousand, one hundred sixty-eight".