27813035664 has 40 divisors (see below), whose sum is σ = 79833714720. Its totient is φ = 9271011744.

The previous prime is 27813035651. The next prime is 27813035671. The reversal of 27813035664 is 46653031872.

27813035664 is a `hidden beast` number, since 2 + 7 + 81 + 3 + 0 + 3 + 566 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32190582 + ... + 32191445.

It is an arithmetic number, because the mean of its divisors is an integer number (1995842868).

Almost surely, 2^27813035664 is an apocalyptic number.

27813035664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27813035664 is an abundant number, since it is smaller than the sum of its proper divisors (52020679056).

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

27813035664 is a wasteful number, since it uses less digits than its factorization.

27813035664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64382044 (or 64382032 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 27813035664 in words is "twenty-seven billion, eight hundred thirteen million, thirty-five thousand, six hundred sixty-four".