27285735664 has 40 divisors (see below), whose sum is σ = 58649639040. Its totient is φ = 12192388800.

The previous prime is 27285735643. The next prime is 27285735689. The reversal of 27285735664 is 46653758272.

It is a super-2 number, since 2×27285735664² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1303452 + ... + 1324219.

It is an arithmetic number, because the mean of its divisors is an integer number (1466240976).

Almost surely, 2^27285735664 is an apocalyptic number.

It is an amenable number.

27285735664 is an abundant number, since it is smaller than the sum of its proper divisors (31363903376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27285735664 is a wasteful number, since it uses less digits than its factorization.

27285735664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627749 (or 2627743 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 55.

The spelling of 27285735664 in words is "twenty-seven billion, two hundred eighty-five million, seven hundred thirty-five thousand, six hundred sixty-four".