27644713446168 has 1152 divisors, whose sum is σ = 99650380507200. Its totient is φ = 7071902982144.

The previous prime is 27644713446167. The next prime is 27644713446173. The reversal of 27644713446168 is 86164431744672.

27644713446168 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 4 + 7 + 1 + 3 + 4 + 4 + 616 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27644713446167) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40834140646 + ... + 40834141322.

Almost surely, 2^{27644713446168} is an apocalyptic number.

27644713446168 is a gapful number since it is divisible by the number (28) 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 27644713446168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49825190253600).

27644713446168 is an abundant number, since it is smaller than the sum of its proper divisors (72005667061032).

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

27644713446168 is a wasteful number, since it uses less digits than its factorization.

27644713446168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1356 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 27644713446168 in words is "twenty-seven trillion, six hundred forty-four billion, seven hundred thirteen million, four hundred forty-six thousand, one hundred sixty-eight".