4127477760 has 468 divisors, whose sum is σ = 16679071188. Its totient is φ = 941359104.

The previous prime is 4127477759. The next prime is 4127477777. The reversal of 4127477760 is 677747214.

It can be written as a sum of positive squares in 2 ways, for example, as 2608349184 + 1519128576 = 51072^2 + 38976^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9031452 + ... + 9031908.

It is an arithmetic number, because the mean of its divisors is an integer number (35639041).

Almost surely, 2^4127477760 is an apocalyptic number.

4127477760 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 4127477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339535594).

4127477760 is an abundant number, since it is smaller than the sum of its proper divisors (12551593428).

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

4127477760 is a wasteful number, since it uses less digits than its factorization.

4127477760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 4127477760 is about 64245.4493330072. The cubic root of 4127477760 is about 1604.0882118472.

The spelling of 4127477760 in words is "four billion, one hundred twenty-seven million, four hundred seventy-seven thousand, seven hundred sixty".