6248041800 has 768 divisors, whose sum is σ = 26518302720. Its totient is φ = 1175040000.

The previous prime is 6248041781. The next prime is 6248041829. The reversal of 6248041800 is 81408426.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60660549 + ... + 60660651.

It is an arithmetic number, because the mean of its divisors is an integer number (34529040).

Almost surely, 2^6248041800 is an apocalyptic number.

6248041800 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 6248041800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13259151360).

6248041800 is an abundant number, since it is smaller than the sum of its proper divisors (20270260920).

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

6248041800 is a wasteful number, since it uses less digits than its factorization.

6248041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 6248041800 is about 79044.5557897570. Note that the first 3 decimals coincide. The cubic root of 6248041800 is about 1841.8233540127.

The spelling of 6248041800 in words is "six billion, two hundred forty-eight million, forty-one thousand, eight hundred".