27782780032 has 64 divisors (see below), whose sum is σ = 63358891200. Its totient is φ = 11887432704.

The previous prime is 27782780027. The next prime is 27782780033. The reversal of 27782780032 is 23008728772.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (27782780033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529578 + ... + 579670.

It is an arithmetic number, because the mean of its divisors is an integer number (989982675).

Almost surely, 2^27782780032 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 27782780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31679445600).

27782780032 is an abundant number, since it is smaller than the sum of its proper divisors (35576111168).

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

27782780032 is an equidigital number, since it uses as much as digits as its factorization.

27782780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50733 (or 50721 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 46.

The spelling of 27782780032 in words is "twenty-seven billion, seven hundred eighty-two million, seven hundred eighty thousand, thirty-two".