27359740345 has 32 divisors (see below), whose sum is σ = 38339076096. Its totient is φ = 18352785600.

The previous prime is 27359740273. The next prime is 27359740351. The reversal of 27359740345 is 54304795372.

It is not a de Polignac number, because 27359740345 - 2¹⁷ = 27359609273 is a prime.

It is a super-3 number, since 3×27359740345³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 6464380 + ... + 6468610.

It is an arithmetic number, because the mean of its divisors is an integer number (1198096128).

Almost surely, 2^27359740345 is an apocalyptic number.

It is an amenable number.

27359740345 is a deficient number, since it is larger than the sum of its proper divisors (10979335751).

27359740345 is a wasteful number, since it uses less digits than its factorization.

27359740345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 27359740345 in words is "twenty-seven billion, three hundred fifty-nine million, seven hundred forty thousand, three hundred forty-five".