6448399200 has 432 divisors, whose sum is σ = 24798256560. Its totient is φ = 1616855040.

The previous prime is 6448399193. The next prime is 6448399207. The reversal of 6448399200 is 29938446.

6448399200 is a `hidden beast` number, since 64 + 483 + 99 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6448399193) and next prime (6448399207).

It is a tau number, because it is divible by the number of its divisors (432).

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 (6448399207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6241884 + ... + 6242916.

Almost surely, 2^6448399200 is an apocalyptic number.

6448399200 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 6448399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399128280).

6448399200 is an abundant number, since it is smaller than the sum of its proper divisors (18349857360).

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

6448399200 is a wasteful number, since it uses less digits than its factorization.

6448399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6448399200 is about 80301.9252571195. The cubic root of 6448399200 is about 1861.3039763562.

The spelling of 6448399200 in words is "six billion, four hundred forty-eight million, three hundred ninety-nine thousand, two hundred".