6249734400 has 864 divisors, whose sum is σ = 26258041600. Its totient is φ = 1300561920.

The previous prime is 6249734377. The next prime is 6249734411. The reversal of 6249734400 is 44379426.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 85612764 + ... + 85612836.

Almost surely, 2^6249734400 is an apocalyptic number.

6249734400 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 6249734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129020800).

6249734400 is an abundant number, since it is smaller than the sum of its proper divisors (20008307200).

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

6249734400 is a wasteful number, since it uses less digits than its factorization.

6249734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 6249734400 is about 79055.2616844698. The cubic root of 6249734400 is about 1841.9896561835.

The spelling of 6249734400 in words is "six billion, two hundred forty-nine million, seven hundred thirty-four thousand, four hundred".