6411027168 has 432 divisors, whose sum is σ = 23328055296. Its totient is φ = 1633582080.

The previous prime is 6411027121. The next prime is 6411027169. The reversal of 6411027168 is 8617201146.

It is a happy number.

6411027168 is a `hidden beast` number, since 641 + 1 + 0 + 2 + 7 + 1 + 6 + 8 = 666.

It is a super-2 number, since 2×6411027168² = 82202538697668200448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411027169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10561521 + ... + 10562127.

It is an arithmetic number, because the mean of its divisors is an integer number (54000128).

Almost surely, 2^6411027168 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 6411027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664027648).

6411027168 is an abundant number, since it is smaller than the sum of its proper divisors (16917028128).

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

6411027168 is a wasteful number, since it uses less digits than its factorization.

6411027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6411027168 is about 80068.8901384302. The cubic root of 6411027168 is about 1857.7012461870.

The spelling of 6411027168 in words is "six billion, four hundred eleven million, twenty-seven thousand, one hundred sixty-eight".