4273727800 has 96 divisors (see below), whose sum is σ = 10110067200. Its totient is φ = 1679892480.

The previous prime is 4273727791. The next prime is 4273727849. The reversal of 4273727800 is 87273724.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2869456 + ... + 2870944.

It is an arithmetic number, because the mean of its divisors is an integer number (105313200).

Almost surely, 2^4273727800 is an apocalyptic number.

4273727800 is a gapful number since it is divisible by the number (40) 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 4273727800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055033600).

4273727800 is an abundant number, since it is smaller than the sum of its proper divisors (5836339400).

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

4273727800 is a wasteful number, since it uses less digits than its factorization.

4273727800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 40.

The square root of 4273727800 is about 65373.7546726513. The cubic root of 4273727800 is about 1622.8147731763.

The spelling of 4273727800 in words is "four billion, two hundred seventy-three million, seven hundred twenty-seven thousand, eight hundred".