6449919168 has 224 divisors, whose sum is σ = 21363310080. Its totient is φ = 1668464640.

The previous prime is 6449919163. The next prime is 6449919251. The reversal of 6449919168 is 8619199446.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (6449919163) 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 31 ways as a sum of consecutive naturals, for example, 4330968 + ... + 4332456.

It is an arithmetic number, because the mean of its divisors is an integer number (95371920).

Almost surely, 2^6449919168 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 6449919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10681655040).

6449919168 is an abundant number, since it is smaller than the sum of its proper divisors (14913390912).

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

6449919168 is a wasteful number, since it uses less digits than its factorization.

6449919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1805 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The square root of 6449919168 is about 80311.3887814175. The cubic root of 6449919168 is about 1861.4502090432.

The spelling of 6449919168 in words is "six billion, four hundred forty-nine million, nine hundred nineteen thousand, one hundred sixty-eight".