6438458880 has 480 divisors, whose sum is σ = 26617805280. Its totient is φ = 1470873600.

The previous prime is 6438458879. The next prime is 6438458989. The reversal of 6438458880 is 888548346.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3385930 + ... + 3387830.

It is an arithmetic number, because the mean of its divisors is an integer number (55453761).

Almost surely, 2^6438458880 is an apocalyptic number.

6438458880 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 6438458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308902640).

6438458880 is an abundant number, since it is smaller than the sum of its proper divisors (20179346400).

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

6438458880 is a wasteful number, since it uses less digits than its factorization.

6438458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The square root of 6438458880 is about 80240.0079760714. The cubic root of 6438458880 is about 1860.3470736300.

The spelling of 6438458880 in words is "six billion, four hundred thirty-eight million, four hundred fifty-eight thousand, eight hundred eighty".