6448440096 has 288 divisors, whose sum is σ = 22350182400. Its totient is φ = 1722539520.

The previous prime is 6448440073. The next prime is 6448440101. The reversal of 6448440096 is 6900448446.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3024951 + ... + 3027081.

It is an arithmetic number, because the mean of its divisors is an integer number (77604800).

Almost surely, 2^6448440096 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 6448440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11175091200).

6448440096 is an abundant number, since it is smaller than the sum of its proper divisors (15901742304).

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

6448440096 is a wasteful number, since it uses less digits than its factorization.

6448440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6448440096 is about 80302.1798956915. The cubic root of 6448440096 is about 1861.3079111687.

The spelling of 6448440096 in words is "six billion, four hundred forty-eight million, four hundred forty thousand, ninety-six".