6523142400 has 324 divisors, whose sum is σ = 23464006020. Its totient is φ = 1728921600.

The previous prime is 6523142383. The next prime is 6523142413. The reversal of 6523142400 is 42413256.

6523142400 is a `hidden beast` number, since 6 + 5 + 231 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3116318976 + 3406823424 = 55824^2 + 58368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15494190 + ... + 15494610.

Almost surely, 2^6523142400 is an apocalyptic number.

6523142400 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 6523142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732003010).

6523142400 is an abundant number, since it is smaller than the sum of its proper divisors (16940863620).

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

6523142400 is a wasteful number, since it uses less digits than its factorization.

6523142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6523142400 is about 80765.9730332025. The cubic root of 6523142400 is about 1868.4678080101.

Adding to 6523142400 its reverse (42413256), we get a palindrome (6565555656).

The spelling of 6523142400 in words is "six billion, five hundred twenty-three million, one hundred forty-two thousand, four hundred".