6444838400 has 480 divisors, whose sum is σ = 21481625088. Its totient is φ = 1850572800.

The previous prime is 6444838343. The next prime is 6444838417. The reversal of 6444838400 is 48384446.

It is a super-2 number, since 2×6444838400² = 83071884004229120000, which contains 22 as substring.

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, 12812549 + ... + 12813051.

Almost surely, 2^6444838400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6444838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740812544).

6444838400 is an abundant number, since it is smaller than the sum of its proper divisors (15036786688).

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

6444838400 is a wasteful number, since it uses less digits than its factorization.

6444838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The square root of 6444838400 is about 80279.7508715616. The cubic root of 6444838400 is about 1860.9613098375.

The spelling of 6444838400 in words is "six billion, four hundred forty-four million, eight hundred thirty-eight thousand, four hundred".