6440223000 has 128 divisors (see below), whose sum is σ = 20282296320. Its totient is φ = 1701257600.

The previous prime is 6440222981. The next prime is 6440223007. The reversal of 6440223000 is 3220446.

It is a Cunningham number, because it is equal to 80251²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440223007) 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, 310969 + ... + 331031.

It is an arithmetic number, because the mean of its divisors is an integer number (158455440).

Almost surely, 2^6440223000 is an apocalyptic number.

6440223000 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 6440223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141148160).

6440223000 is an abundant number, since it is smaller than the sum of its proper divisors (13842073320).

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

6440223000 is a wasteful number, since it uses less digits than its factorization.

6440223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 20180 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6440223000 is about 80250.9999937695. Note that the first 5 decimals coincide. The cubic root of 6440223000 is about 1860.5169681055.

Adding to 6440223000 its reverse (3220446), we get a palindrome (6443443446).

The spelling of 6440223000 in words is "six billion, four hundred forty million, two hundred twenty-three thousand".