6249484800 has 720 divisors, whose sum is σ = 25071029280. Its totient is φ = 1523957760.

The previous prime is 6249484793. The next prime is 6249484811. The reversal of 6249484800 is 84849426.

6249484800 is a `hidden beast` number, since 6 + 2 + 494 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58406347 + ... + 58406453.

It is an arithmetic number, because the mean of its divisors is an integer number (34820874).

Almost surely, 2^6249484800 is an apocalyptic number.

6249484800 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 6249484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535514640).

6249484800 is an abundant number, since it is smaller than the sum of its proper divisors (18821544480).

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

6249484800 is a wasteful number, since it uses less digits than its factorization.

6249484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6249484800 is about 79053.6830261563. The cubic root of 6249484800 is about 1841.9651342487.

The spelling of 6249484800 in words is "six billion, two hundred forty-nine million, four hundred eighty-four thousand, eight hundred".