6441339168 has 432 divisors, whose sum is σ = 21740086368. Its totient is φ = 1801113600.

The previous prime is 6441339161. The next prime is 6441339193. The reversal of 6441339168 is 8619331446.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6441339161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49170463 + ... + 49170593.

It is an arithmetic number, because the mean of its divisors is an integer number (50324274).

Almost surely, 2^6441339168 is an apocalyptic number.

6441339168 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6441339168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870043184).

6441339168 is an abundant number, since it is smaller than the sum of its proper divisors (15298747200).

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

6441339168 is a wasteful number, since it uses less digits than its factorization.

6441339168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 6441339168 is about 80257.9539235832. The cubic root of 6441339168 is about 1860.6244452092.

The spelling of 6441339168 in words is "six billion, four hundred forty-one million, three hundred thirty-nine thousand, one hundred sixty-eight".