27688767840 has 480 divisors, whose sum is σ = 100848996864. Its totient is φ = 7150740480.

The previous prime is 27688767823. The next prime is 27688767851. The reversal of 27688767840 is 4876788672.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79794547 + ... + 79794893.

Almost surely, 2^27688767840 is an apocalyptic number.

27688767840 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 27688767840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50424498432).

27688767840 is an abundant number, since it is smaller than the sum of its proper divisors (73160229024).

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

27688767840 is a wasteful number, since it uses less digits than its factorization.

27688767840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 27688767840 in words is "twenty-seven billion, six hundred eighty-eight million, seven hundred sixty-seven thousand, eight hundred forty".