27164476680 has 128 divisors (see below), whose sum is σ = 88943460480. Its totient is φ = 6582251520.

The previous prime is 27164476667. The next prime is 27164476723. The reversal of 27164476680 is 8667446172.

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 31 ways as a sum of consecutive naturals, for example, 4243242 + ... + 4249638.

It is an arithmetic number, because the mean of its divisors is an integer number (694870785).

Almost surely, 2^27164476680 is an apocalyptic number.

27164476680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27164476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44471730240).

27164476680 is an abundant number, since it is smaller than the sum of its proper divisors (61778983800).

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

27164476680 is a wasteful number, since it uses less digits than its factorization.

27164476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 27164476680 in words is "twenty-seven billion, one hundred sixty-four million, four hundred seventy-six thousand, six hundred eighty".