27335721645 has 40 divisors (see below), whose sum is σ = 49013784600. Its totient is φ = 14575489920.

The previous prime is 27335721617. The next prime is 27335721683. The reversal of 27335721645 is 54612753372.

27335721645 is a `hidden beast` number, since 2 + 7 + 33 + 572 + 1 + 6 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8379388521 + 18956333124 = 91539^2 + 137682^2 .

It is not a de Polignac number, because 27335721645 - 2⁸ = 27335721389 is a prime.

It is a super-3 number, since 3×27335721645³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27335721645.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 3052875 + ... + 3061815.

It is an arithmetic number, because the mean of its divisors is an integer number (1225344615).

Almost surely, 2^27335721645 is an apocalyptic number.

It is an amenable number.

27335721645 is a deficient number, since it is larger than the sum of its proper divisors (21678062955).

27335721645 is an equidigital number, since it uses as much as digits as its factorization.

27335721645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16507 (or 16498 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 27335721645 in words is "twenty-seven billion, three hundred thirty-five million, seven hundred twenty-one thousand, six hundred forty-five".