6127228800 has 960 divisors, whose sum is σ = 28281939840. Its totient is φ = 1269043200.

The previous prime is 6127228781. The next prime is 6127228829. The reversal of 6127228800 is 88227216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19958247 + ... + 19958553.

It is an arithmetic number, because the mean of its divisors is an integer number (29460354).

Almost surely, 2^6127228800 is an apocalyptic number.

6127228800 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 6127228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140969920).

6127228800 is an abundant number, since it is smaller than the sum of its proper divisors (22154711040).

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

6127228800 is a wasteful number, since it uses less digits than its factorization.

6127228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6127228800 is about 78276.6171982413. The cubic root of 6127228800 is about 1829.8747562768.

The spelling of 6127228800 in words is "six billion, one hundred twenty-seven million, two hundred twenty-eight thousand, eight hundred".