27638732160 has 384 divisors, whose sum is σ = 103480191360. Its totient is φ = 6757171200.

The previous prime is 27638732153. The next prime is 27638732183. The reversal of 27638732160 is 6123783672.

27638732160 is a `hidden beast` number, since 2 + 7 + 638 + 7 + 3 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×27638732160³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11754985 + ... + 11757335.

It is an arithmetic number, because the mean of its divisors is an integer number (269479665).

Almost surely, 2^27638732160 is an apocalyptic number.

27638732160 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 27638732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51740095680).

27638732160 is an abundant number, since it is smaller than the sum of its proper divisors (75841459200).

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

27638732160 is a wasteful number, since it uses less digits than its factorization.

27638732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27638732160 in words is "twenty-seven billion, six hundred thirty-eight million, seven hundred thirty-two thousand, one hundred sixty".