27638067160 has 64 divisors (see below), whose sum is σ = 67887590400. Its totient is φ = 10042992000.

The previous prime is 27638067137. The next prime is 27638067161. The reversal of 27638067160 is 6176083672.

It is a super-3 number, since 3×27638067160³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27638067160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27638067161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611335 + ... + 654985.

It is an arithmetic number, because the mean of its divisors is an integer number (1060743600).

Almost surely, 2^27638067160 is an apocalyptic number.

27638067160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27638067160 is an abundant number, since it is smaller than the sum of its proper divisors (40249523240).

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

27638067160 is a wasteful number, since it uses less digits than its factorization.

27638067160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45112 (or 45108 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 27638067160 in words is "twenty-seven billion, six hundred thirty-eight million, sixty-seven thousand, one hundred sixty".