27012672000 has 480 divisors, whose sum is σ = 101574570240. Its totient is φ = 6886809600.

The previous prime is 27012671941. The next prime is 27012672007. The reversal of 27012672000 is 27621072.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (27012672007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13246981 + ... + 13249019.

It is an arithmetic number, because the mean of its divisors is an integer number (211613688).

Almost surely, 2^27012672000 is an apocalyptic number.

27012672000 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 27012672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50787285120).

27012672000 is an abundant number, since it is smaller than the sum of its proper divisors (74561898240).

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

27012672000 is a wasteful number, since it uses less digits than its factorization.

27012672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 27012672000 in words is "twenty-seven billion, twelve million, six hundred seventy-two thousand".