27311640660 has 72 divisors (see below), whose sum is σ = 82916103816. Its totient is φ = 7276880640.

The previous prime is 27311640647. The next prime is 27311640667. The reversal of 27311640660 is 6604611372.

It is a happy number.

27311640660 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 1 + 640 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7037867664 + 20273772996 = 83892^2 + 142386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27311640667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 148342 + ... + 276818.

It is an arithmetic number, because the mean of its divisors is an integer number (1151612553).

Almost surely, 2^27311640660 is an apocalyptic number.

27311640660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27311640660 is an abundant number, since it is smaller than the sum of its proper divisors (55604463156).

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

27311640660 is a wasteful number, since it uses less digits than its factorization.

27311640660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129673 (or 129668 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27311640660 in words is "twenty-seven billion, three hundred eleven million, six hundred forty thousand, six hundred sixty".