27995616864 has 72 divisors (see below), whose sum is σ = 84295640520. Its totient is φ = 8782937088.

The previous prime is 27995616833. The next prime is 27995616907. The reversal of 27995616864 is 46861659972.

27995616864 is a `hidden beast` number, since 2 + 7 + 9 + 9 + 5 + 616 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2854134 + ... + 2863925.

It is an arithmetic number, because the mean of its divisors is an integer number (1170772785).

Almost surely, 2^27995616864 is an apocalyptic number.

27995616864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27995616864 is an abundant number, since it is smaller than the sum of its proper divisors (56300023656).

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

27995616864 is a wasteful number, since it uses less digits than its factorization.

27995616864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718092 (or 5718081 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 27995616864 in words is "twenty-seven billion, nine hundred ninety-five million, six hundred sixteen thousand, eight hundred sixty-four".