27746103132 has 72 divisors (see below), whose sum is σ = 76563068400. Its totient is φ = 8402296320.

The previous prime is 27746103113. The next prime is 27746103137. The reversal of 27746103132 is 23130164772.

27746103132 is a `hidden beast` number, since 2 + 7 + 7 + 4 + 610 + 3 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27746103137) 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 23 ways as a sum of consecutive naturals, for example, 590788 + ... + 636020.

It is an arithmetic number, because the mean of its divisors is an integer number (1063375950).

Almost surely, 2^27746103132 is an apocalyptic number.

27746103132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27746103132 is an abundant number, since it is smaller than the sum of its proper divisors (48816965268).

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

27746103132 is a wasteful number, since it uses less digits than its factorization.

27746103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46803 (or 46798 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 27746103132 in words is "twenty-seven billion, seven hundred forty-six million, one hundred three thousand, one hundred thirty-two".