27564977664 has 120 divisors (see below), whose sum is σ = 90919411440. Its totient is φ = 7875698688.

The previous prime is 27564977651. The next prime is 27564977683. The reversal of 27564977664 is 46677946572.

It is a happy number.

27564977664 is a `hidden beast` number, since 2 + 7 + 564 + 9 + 7 + 7 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395029 + ... + 459540.

It is an arithmetic number, because the mean of its divisors is an integer number (757661762).

Almost surely, 2^27564977664 is an apocalyptic number.

27564977664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27564977664 is an abundant number, since it is smaller than the sum of its proper divisors (63354433776).

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

27564977664 is an equidigital number, since it uses as much as digits as its factorization.

27564977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854600 (or 854581 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 27564977664 in words is "twenty-seven billion, five hundred sixty-four million, nine hundred seventy-seven thousand, six hundred sixty-four".