6440768000 has 160 divisors (see below), whose sum is σ = 16187968368. Its totient is φ = 2555904000.

The previous prime is 6440767997. The next prime is 6440768017. The reversal of 6440768000 is 8670446.

It can be written as a sum of positive squares in 8 ways, for example, as 589129984 + 5851638016 = 24272^2 + 76496^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10047680 + ... + 10048320.

Almost surely, 2^6440768000 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 6440768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093984184).

6440768000 is an abundant number, since it is smaller than the sum of its proper divisors (9747200368).

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

6440768000 is an equidigital number, since it uses as much as digits as its factorization.

6440768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 6440768000 is about 80254.3955182518. The cubic root of 6440768000 is about 1860.5694483352.

The spelling of 6440768000 in words is "six billion, four hundred forty million, seven hundred sixty-eight thousand".