6468229440 has 168 divisors, whose sum is σ = 22374087840. Its totient is φ = 1715088384.

The previous prime is 6468229423. The next prime is 6468229447. The reversal of 6468229440 is 449228646.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468229447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509247 + ... + 521793.

Almost surely, 2^6468229440 is an apocalyptic number.

6468229440 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 6468229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187043920).

6468229440 is an abundant number, since it is smaller than the sum of its proper divisors (15905858400).

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

6468229440 is a wasteful number, since it uses less digits than its factorization.

6468229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 6468229440 is about 80425.3034809319. The cubic root of 6468229440 is about 1863.2099963557.

The spelling of 6468229440 in words is "six billion, four hundred sixty-eight million, two hundred twenty-nine thousand, four hundred forty".