6224262400 has 108 divisors (see below), whose sum is σ = 15465314844. Its totient is φ = 2480128000.

The previous prime is 6224262391. The next prime is 6224262409. The reversal of 6224262400 is 42624226.

It is an interprime number because it is at equal distance from previous prime (6224262391) and next prime (6224262409).

It can be written as a sum of positive squares in 6 ways, for example, as 281702656 + 5942559744 = 16784^2 + 77088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6224262409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1796670 + ... + 1800130.

Almost surely, 2^6224262400 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 6224262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732657422).

6224262400 is an abundant number, since it is smaller than the sum of its proper divisors (9241052444).

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

6224262400 is a wasteful number, since it uses less digits than its factorization.

6224262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 6224262400 is about 78893.9947017515. The cubic root of 6224262400 is about 1839.4837871369.

Adding to 6224262400 its reverse (42624226), we get a palindrome (6266886626).

The spelling of 6224262400 in words is "six billion, two hundred twenty-four million, two hundred sixty-two thousand, four hundred".