27716318240 has 96 divisors (see below), whose sum is σ = 70555484160. Its totient is φ = 10228091904.

The previous prime is 27716318239. The next prime is 27716318249. The reversal of 27716318240 is 4281361772.

It is not an unprimeable number, because it can be changed into a prime (27716318249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6984737 + ... + 6988703.

It is an arithmetic number, because the mean of its divisors is an integer number (734952960).

Almost surely, 2^27716318240 is an apocalyptic number.

27716318240 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 27716318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35277742080).

27716318240 is an abundant number, since it is smaller than the sum of its proper divisors (42839165920).

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

27716318240 is a wasteful number, since it uses less digits than its factorization.

27716318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 27716318240 in words is "twenty-seven billion, seven hundred sixteen million, three hundred eighteen thousand, two hundred forty".