27436817940 has 144 divisors (see below), whose sum is σ = 91781286912. Its totient is φ = 6101754624.

The previous prime is 27436817923. The next prime is 27436817951. The reversal of 27436817940 is 4971863472.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17332 + ... + 234891.

It is an arithmetic number, because the mean of its divisors is an integer number (637370048).

Almost surely, 2^27436817940 is an apocalyptic number.

27436817940 is a gapful number since it is divisible by the number (20) 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 27436817940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45890643456).

27436817940 is an abundant number, since it is smaller than the sum of its proper divisors (64344468972).

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

27436817940 is a wasteful number, since it uses less digits than its factorization.

27436817940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252286 (or 252277 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 27436817940 in words is "twenty-seven billion, four hundred thirty-six million, eight hundred seventeen thousand, nine hundred forty".