27667747505 has 8 divisors (see below), whose sum is σ = 33321158952. Its totient is φ = 22054290048.

The previous prime is 27667747501. The next prime is 27667747561. The reversal of 27667747505 is 50574776672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6584997904 + 21082749601 = 81148^2 + 145199^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 27667747505 - 2² = 27667747501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27667747501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9986972 + ... + 9989741.

It is an arithmetic number, because the mean of its divisors is an integer number (4165144869).

Almost surely, 2^27667747505 is an apocalyptic number.

It is an amenable number.

27667747505 is a deficient number, since it is larger than the sum of its proper divisors (5653411447).

27667747505 is a wasteful number, since it uses less digits than its factorization.

27667747505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19976995.

The product of its (nonzero) digits is 17287200, while the sum is 56.

The spelling of 27667747505 in words is "twenty-seven billion, six hundred sixty-seven million, seven hundred forty-seven thousand, five hundred five".