6442022400 has 480 divisors, whose sum is σ = 23600560896. Its totient is φ = 1536000000.

The previous prime is 6442022399. The next prime is 6442022423. The reversal of 6442022400 is 42202446.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42662325 + ... + 42662475.

Almost surely, 2^6442022400 is an apocalyptic number.

6442022400 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 6442022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800280448).

6442022400 is an abundant number, since it is smaller than the sum of its proper divisors (17158538496).

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

6442022400 is a wasteful number, since it uses less digits than its factorization.

6442022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6442022400 is about 80262.2102860369. The cubic root of 6442022400 is about 1860.6902282802.

Adding to 6442022400 its reverse (42202446), we get a palindrome (6484224846).

The spelling of 6442022400 in words is "six billion, four hundred forty-two million, twenty-two thousand, four hundred".