6248806400 has 216 divisors, whose sum is σ = 16135217280. Its totient is φ = 2399846400.

The previous prime is 6248806387. The next prime is 6248806427. The reversal of 6248806400 is 46088426.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49203137 + ... + 49203263.

It is an arithmetic number, because the mean of its divisors is an integer number (74700080).

Almost surely, 2^6248806400 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 6248806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067608640).

6248806400 is an abundant number, since it is smaller than the sum of its proper divisors (9886410880).

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

6248806400 is a wasteful number, since it uses less digits than its factorization.

6248806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 6248806400 is about 79049.3921545258. The cubic root of 6248806400 is about 1841.8984815882.

The spelling of 6248806400 in words is "six billion, two hundred forty-eight million, eight hundred six thousand, four hundred".