27340765564301 has 32 divisors (see below), whose sum is σ = 33678232473600. Its totient is φ = 21676312748160.

The previous prime is 27340765564247. The next prime is 27340765564303. The reversal of 27340765564301 is 10346556704372.

It is a de Polignac number, because none of the positive numbers 2^k-27340765564301 is a prime.

It is a super-3 number, since 3×27340765564301³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27340765564303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13082456 + ... + 15027713.

It is an arithmetic number, because the mean of its divisors is an integer number (1052444764800).

Almost surely, 2^{27340765564301} is an apocalyptic number.

It is an amenable number.

27340765564301 is a deficient number, since it is larger than the sum of its proper divisors (6337466909299).

27340765564301 is a wasteful number, since it uses less digits than its factorization.

27340765564301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28110369.

The product of its (nonzero) digits is 12700800, while the sum is 53.

The spelling of 27340765564301 in words is "twenty-seven trillion, three hundred forty billion, seven hundred sixty-five million, five hundred sixty-four thousand, three hundred one".