4127800768 has 252 divisors, whose sum is σ = 10951448760. Its totient is φ = 1525837824.

The previous prime is 4127800763. The next prime is 4127800783. The reversal of 4127800768 is 8670087214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127800763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56545180 + ... + 56545252.

It is an arithmetic number, because the mean of its divisors is an integer number (43458130).

Almost surely, 2^4127800768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475724380).

4127800768 is an abundant number, since it is smaller than the sum of its proper divisors (6823647992).

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

4127800768 is a wasteful number, since it uses less digits than its factorization.

4127800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The square root of 4127800768 is about 64247.9631428110. The cubic root of 4127800768 is about 1604.1300549808.

The spelling of 4127800768 in words is "four billion, one hundred twenty-seven million, eight hundred thousand, seven hundred sixty-eight".