27884685642 has 128 divisors (see below), whose sum is σ = 65502597888. Its totient is φ = 7820083200.

The previous prime is 27884685629. The next prime is 27884685643. The reversal of 27884685642 is 24658648872.

It is not an unprimeable number, because it can be changed into a prime (27884685643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18827542 + ... + 18829022.

It is an arithmetic number, because the mean of its divisors is an integer number (511739046).

Almost surely, 2^27884685642 is an apocalyptic number.

27884685642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27884685642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32751298944).

27884685642 is an abundant number, since it is smaller than the sum of its proper divisors (37617912246).

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

27884685642 is a wasteful number, since it uses less digits than its factorization.

27884685642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784.

The product of its digits is 41287680, while the sum is 60.

The spelling of 27884685642 in words is "twenty-seven billion, eight hundred eighty-four million, six hundred eighty-five thousand, six hundred forty-two".