6441728060 has 48 divisors (see below), whose sum is σ = 14372479296. Its totient is φ = 2416806912.

The previous prime is 6441728011. The next prime is 6441728071. The reversal of 6441728060 is 608271446.

6441728060 = 19458² + 19459² + ... + 19474².

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, 67289 + ... + 131951.

It is an arithmetic number, because the mean of its divisors is an integer number (299426652).

Almost surely, 2^6441728060 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 6441728060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186239648).

6441728060 is an abundant number, since it is smaller than the sum of its proper divisors (7930751236).

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

6441728060 is a wasteful number, since it uses less digits than its factorization.

6441728060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64982 (or 64980 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 6441728060 is about 80260.3766500008. The cubic root of 6441728060 is about 1860.6618891517.

The spelling of 6441728060 in words is "six billion, four hundred forty-one million, seven hundred twenty-eight thousand, sixty".