6444768 has 96 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 1832960.

The previous prime is 6444733. The next prime is 6444787. The reversal of 6444768 is 8674446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 17773 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^6444768 is an apocalyptic number.

6444768 is a gapful number since it is divisible by the number (68) 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 6444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

6444768 is an abundant number, since it is smaller than the sum of its proper divisors (13150752).

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

6444768 is a wasteful number, since it uses less digits than its factorization.

6444768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 6444768 is about 2538.6547618768. The cubic root of 6444768 is about 186.0954533761.

The spelling of 6444768 in words is "six million, four hundred forty-four thousand, seven hundred sixty-eight".