4127864832 has 576 divisors, whose sum is σ = 15454333440. Its totient is φ = 1031602176.

The previous prime is 4127864831. The next prime is 4127864869. The reversal of 4127864832 is 2384687214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127864831) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38578123 + ... + 38578229.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^4127864832 is an apocalyptic number.

4127864832 is a gapful number since it is divisible by the number (42) 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 4127864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727166720).

4127864832 is an abundant number, since it is smaller than the sum of its proper divisors (11326468608).

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

4127864832 is a wasteful number, since it uses less digits than its factorization.

4127864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4127864832 is about 64248.4617092114. The cubic root of 4127864832 is about 1604.1383537062.

The spelling of 4127864832 in words is "four billion, one hundred twenty-seven million, eight hundred sixty-four thousand, eight hundred thirty-two".