6448861440 has 1152 divisors, whose sum is σ = 29198131200. Its totient is φ = 1313832960.

The previous prime is 6448861439. The next prime is 6448861453. The reversal of 6448861440 is 441688446.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105719010 + ... + 105719070.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^6448861440 is an apocalyptic number.

6448861440 is a gapful number since it is divisible by the number (60) 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 6448861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599065600).

6448861440 is an abundant number, since it is smaller than the sum of its proper divisors (22749269760).

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

6448861440 is a wasteful number, since it uses less digits than its factorization.

6448861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 6448861440 is about 80304.8033432621. The cubic root of 6448861440 is about 1861.3484498535.

The spelling of 6448861440 in words is "six billion, four hundred forty-eight million, eight hundred sixty-one thousand, four hundred forty".