6441742216 has 256 divisors, whose sum is σ = 16437657600. Its totient is φ = 2295475200.

The previous prime is 6441742171. The next prime is 6441742243. The reversal of 6441742216 is 6122471446.

Its product of digits (64512) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35589646 + ... + 35589826.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 2^6441742216 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 6441742216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218828800).

6441742216 is an abundant number, since it is smaller than the sum of its proper divisors (9995915384).

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

6441742216 is a wasteful number, since it uses less digits than its factorization.

6441742216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 6441742216 is about 80260.4648379263. The cubic root of 6441742216 is about 1860.6632521146.

The spelling of 6441742216 in words is "six billion, four hundred forty-one million, seven hundred forty-two thousand, two hundred sixteen".