6423624400 has 60 divisors (see below), whose sum is σ = 15478876972. Its totient is φ = 2561771520.

The previous prime is 6423624343. The next prime is 6423624401. The reversal of 6423624400 is 44263246.

It can be written as a sum of positive squares in 6 ways, for example, as 776402496 + 5647221904 = 27864^2 + 75148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423624401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110974 + ... + 158626.

Almost surely, 2^6423624400 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 6423624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739438486).

6423624400 is an abundant number, since it is smaller than the sum of its proper divisors (9055252572).

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

6423624400 is a wasteful number, since it uses less digits than its factorization.

6423624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48008 (or 47997 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 6423624400 is about 80147.5164930268. The cubic root of 6423624400 is about 1858.9172022771.

Adding to 6423624400 its reverse (44263246), we get a palindrome (6467887646).

The spelling of 6423624400 in words is "six billion, four hundred twenty-three million, six hundred twenty-four thousand, four hundred".