27732761920 has 28 divisors (see below), whose sum is σ = 66038640084. Its totient is φ = 11093104640.

The previous prime is 27732761897. The next prime is 27732761921. The reversal of 27732761920 is 2916723772.

It can be written as a sum of positive squares in 2 ways, for example, as 18283366656 + 9449395264 = 135216^2 + 97208^2 .

It is a super-2 number, since 2×27732761920² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27732761921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43332121 + ... + 43332760.

Almost surely, 2^27732761920 is an apocalyptic number.

27732761920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27732761920 is an abundant number, since it is smaller than the sum of its proper divisors (38305878164).

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

27732761920 is an equidigital number, since it uses as much as digits as its factorization.

27732761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86664898 (or 86664888 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 46.

The spelling of 27732761920 in words is "twenty-seven billion, seven hundred thirty-two million, seven hundred sixty-one thousand, nine hundred twenty".