6444023160 has 128 divisors (see below), whose sum is σ = 20259072000. Its totient is φ = 1636647936.

The previous prime is 6444023101. The next prime is 6444023167. The reversal of 6444023160 is 613204446.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444023167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654756 + ... + 664524.

It is an arithmetic number, because the mean of its divisors is an integer number (158274000).

Almost surely, 2^6444023160 is an apocalyptic number.

6444023160 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 6444023160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129536000).

6444023160 is an abundant number, since it is smaller than the sum of its proper divisors (13815048840).

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

6444023160 is a wasteful number, since it uses less digits than its factorization.

6444023160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10045 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6444023160 is about 80274.6732164012. The cubic root of 6444023160 is about 1860.8828390790.

The spelling of 6444023160 in words is "six billion, four hundred forty-four million, twenty-three thousand, one hundred sixty".