27648836961 has 8 divisors (see below), whose sum is σ = 37230117504. Its totient is φ = 18250057200.

The previous prime is 27648836947. The next prime is 27648836983. The reversal of 27648836961 is 16963884672.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 27648836961 - 2¹³ = 27648828769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27648836895 and 27648836904.

It is not an unprimeable number, because it can be changed into a prime (27648836861) 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 7 ways as a sum of consecutive naturals, for example, 45624841 + ... + 45625446.

It is an arithmetic number, because the mean of its divisors is an integer number (4653764688).

Almost surely, 2^27648836961 is an apocalyptic number.

It is an amenable number.

27648836961 is a deficient number, since it is larger than the sum of its proper divisors (9581280543).

27648836961 is a wasteful number, since it uses less digits than its factorization.

27648836961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91250391.

The product of its digits is 20901888, while the sum is 60.

The spelling of 27648836961 in words is "twenty-seven billion, six hundred forty-eight million, eight hundred thirty-six thousand, nine hundred sixty-one".