6441244320 has 192 divisors, whose sum is σ = 23754560256. Its totient is φ = 1436344320.

The previous prime is 6441244289. The next prime is 6441244379. The reversal of 6441244320 is 234421446.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114382 + ... + 161138.

It is an arithmetic number, because the mean of its divisors is an integer number (123721668).

Almost surely, 2^6441244320 is an apocalyptic number.

6441244320 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 6441244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877280128).

6441244320 is an abundant number, since it is smaller than the sum of its proper divisors (17313315936).

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

6441244320 is a wasteful number, since it uses less digits than its factorization.

6441244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46823 (or 46815 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 6441244320 is about 80257.3630267030. The cubic root of 6441244320 is about 1860.6153126686.

Adding to 6441244320 its reverse (234421446), we get a palindrome (6675665766).

The spelling of 6441244320 in words is "six billion, four hundred forty-one million, two hundred forty-four thousand, three hundred twenty".