6246000230400 has 1584 divisors, whose sum is σ = 26828506818048. Its totient is φ = 1358954496000.

The previous prime is 6246000230377. The next prime is 6246000230411. The reversal of 6246000230400 is 40320006426.

6246000230400 is a `hidden beast` number, since 6 + 24 + 6 + 0 + 0 + 0 + 230 + 400 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 102393446370 + ... + 102393446430.

Almost surely, 2^{6246000230400} is an apocalyptic number.

6246000230400 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 6246000230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414253409024).

6246000230400 is an abundant number, since it is smaller than the sum of its proper divisors (20582506587648).

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

6246000230400 is an frugal number, since it uses more digits than its factorization.

6246000230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 6246000230400 its reverse (40320006426), we get a palindrome (6286320236826).

The spelling of 6246000230400 in words is "six trillion, two hundred forty-six billion, two hundred thirty thousand, four hundred".