27730764001 has 2 divisors, whose sum is σ = 27730764002. Its totient is φ = 27730764000.

The previous prime is 27730763999. The next prime is 27730764023. The reversal of 27730764001 is 10046703772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17855373376 + 9875390625 = 133624^2 + 99375^2 .

It is a cyclic number.

It is not a de Polignac number, because 27730764001 - 2¹ = 27730763999 is a prime.

Together with 27730763999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (27730761001) by changing a digit.

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 as a sum of consecutive naturals, namely, 13865382000 + 13865382001.

It is an arithmetic number, because the mean of its divisors is an integer number (13865382001).

Almost surely, 2^27730764001 is an apocalyptic number.

It is an amenable number.

27730764001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27730764001 is an equidigital number, since it uses as much as digits as its factorization.

27730764001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 27730764001 in words is "twenty-seven billion, seven hundred thirty million, seven hundred sixty-four thousand, one".