4132768584 has 128 divisors (see below), whose sum is σ = 12683520000. Its totient is φ = 1118601792.

The previous prime is 4132768579. The next prime is 4132768589. The reversal of 4132768584 is 4858672314.

It is an interprime number because it is at equal distance from previous prime (4132768579) and next prime (4132768589).

It is not an unprimeable number, because it can be changed into a prime (4132768589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143197 + ... + 169619.

It is an arithmetic number, because the mean of its divisors is an integer number (99090000).

Almost surely, 2^4132768584 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 4132768584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341760000).

4132768584 is an abundant number, since it is smaller than the sum of its proper divisors (8550751416).

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

4132768584 is a wasteful number, since it uses less digits than its factorization.

4132768584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26472 (or 26454 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 4132768584 is about 64286.6127899114. The cubic root of 4132768584 is about 1604.7733215066.

The spelling of 4132768584 in words is "four billion, one hundred thirty-two million, seven hundred sixty-eight thousand, five hundred eighty-four".