27164677680 has 120 divisors (see below), whose sum is σ = 104260639392. Its totient is φ = 6209068032.

The previous prime is 27164677679. The next prime is 27164677681. The reversal of 27164677680 is 8677646172.

27164677680 is a `hidden beast` number, since 27 + 16 + 467 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (27164677679) and next prime (27164677681).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (27164677681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689869 + ... + 2699948.

Almost surely, 2^27164677680 is an apocalyptic number.

27164677680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27164677680 is an abundant number, since it is smaller than the sum of its proper divisors (77095961712).

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

27164677680 is a wasteful number, since it uses less digits than its factorization.

27164677680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389843 (or 5389834 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27164677680 in words is "twenty-seven billion, one hundred sixty-four million, six hundred seventy-seven thousand, six hundred eighty".