6438882240 has 672 divisors, whose sum is σ = 26936029440. Its totient is φ = 1443391488.

The previous prime is 6438882181. The next prime is 6438882313. The reversal of 6438882240 is 422888346.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28365007 + ... + 28365233.

Almost surely, 2^6438882240 is an apocalyptic number.

6438882240 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 6438882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13468014720).

6438882240 is an abundant number, since it is smaller than the sum of its proper divisors (20497147200).

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

6438882240 is a wasteful number, since it uses less digits than its factorization.

6438882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 6438882240 is about 80242.6460181866. The cubic root of 6438882240 is about 1860.3878483604.

The spelling of 6438882240 in words is "six billion, four hundred thirty-eight million, eight hundred eighty-two thousand, two hundred forty".