6448777344 has 48 divisors (see below), whose sum is σ = 18557031870. Its totient is φ = 2149592064.

The previous prime is 6448777343. The next prime is 6448777369. The reversal of 6448777344 is 4437778446.

It is a happy number.

6448777344 is a `hidden beast` number, since 64 + 487 + 77 + 34 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5340686400 + 1108090944 = 73080^2 + 33288^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6448777343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2797797 + ... + 2800100.

Almost surely, 2^6448777344 is an apocalyptic number.

6448777344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6448777344 is an abundant number, since it is smaller than the sum of its proper divisors (12108254526).

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

6448777344 is a wasteful number, since it uses less digits than its factorization.

6448777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597917 (or 5597902 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 54.

The square root of 6448777344 is about 80304.2797365122. The cubic root of 6448777344 is about 1861.3403588831.

The spelling of 6448777344 in words is "six billion, four hundred forty-eight million, seven hundred seventy-seven thousand, three hundred forty-four".