27718467840 has 288 divisors, whose sum is σ = 112414767360. Its totient is φ = 6335594496.

The previous prime is 27718467797. The next prime is 27718467859. The reversal of 27718467840 is 4876481772.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27718467840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184632 + ... + 299208.

Almost surely, 2^27718467840 is an apocalyptic number.

27718467840 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 27718467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56207383680).

27718467840 is an abundant number, since it is smaller than the sum of its proper divisors (84696299520).

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

27718467840 is a wasteful number, since it uses less digits than its factorization.

27718467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114614 (or 114594 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 27718467840 in words is "twenty-seven billion, seven hundred eighteen million, four hundred sixty-seven thousand, eight hundred forty".