6438210240 has 448 divisors, whose sum is σ = 25660551168. Its totient is φ = 1328640000.

The previous prime is 6438210227. The next prime is 6438210257. The reversal of 6438210240 is 420128346.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 6438210198 and 6438210207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18553747 + ... + 18554093.

It is an arithmetic number, because the mean of its divisors is an integer number (57278016).

Almost surely, 2^6438210240 is an apocalyptic number.

6438210240 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 6438210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830275584).

6438210240 is an abundant number, since it is smaller than the sum of its proper divisors (19222340928).

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

6438210240 is a wasteful number, since it uses less digits than its factorization.

6438210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6438210240 is about 80238.4586093227. The cubic root of 6438210240 is about 1860.3231257329.

Adding to 6438210240 its reverse (420128346), we get a palindrome (6858338586).

The spelling of 6438210240 in words is "six billion, four hundred thirty-eight million, two hundred ten thousand, two hundred forty".