27673893136944 has 160 divisors (see below), whose sum is σ = 84824194713600. Its totient is φ = 8619232446720.

The previous prime is 27673893136937. The next prime is 27673893136987. The reversal of 27673893136944 is 44963139837672.

27673893136944 is a `hidden beast` number, since 2 + 76 + 7 + 389 + 3 + 136 + 9 + 44 = 666.

It is a super-2 number, since 2×27673893136944² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35240074 + ... + 36016809.

It is an arithmetic number, because the mean of its divisors is an integer number (530151216960).

Almost surely, 2^{27673893136944} is an apocalyptic number.

27673893136944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27673893136944 is an abundant number, since it is smaller than the sum of its proper divisors (57150301576656).

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

27673893136944 is a wasteful number, since it uses less digits than its factorization.

27673893136944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71256960 (or 71256948 counting only the distinct ones).

The product of its digits is 987614208, while the sum is 72.

The spelling of 27673893136944 in words is "twenty-seven trillion, six hundred seventy-three billion, eight hundred ninety-three million, one hundred thirty-six thousand, nine hundred forty-four".