6441866928 has 240 divisors, whose sum is σ = 21652959360. Its totient is φ = 1828262016.

The previous prime is 6441866923. The next prime is 6441866939. The reversal of 6441866928 is 8296681446.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6441866923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3449451 + ... + 3451317.

It is an arithmetic number, because the mean of its divisors is an integer number (90220664).

Almost surely, 2^6441866928 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 6441866928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10826479680).

6441866928 is an abundant number, since it is smaller than the sum of its proper divisors (15211092432).

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

6441866928 is a wasteful number, since it uses less digits than its factorization.

6441866928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2042 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 6441866928 is about 80261.2417546601. The cubic root of 6441866928 is about 1860.6752595049.

The spelling of 6441866928 in words is "six billion, four hundred forty-one million, eight hundred sixty-six thousand, nine hundred twenty-eight".