27668729088000 has 7680 divisors, whose sum is σ = 146273548861440. Its totient is φ = 5016453120000.

The previous prime is 27668729087971. The next prime is 27668729088059. The reversal of 27668729088000 is 88092786672.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 643458815979 + ... + 643458816021.

It is an arithmetic number, because the mean of its divisors is an integer number (19046035008).

Almost surely, 2^{27668729088000} is an apocalyptic number.

27668729088000 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 27668729088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73136774430720).

27668729088000 is an abundant number, since it is smaller than the sum of its proper divisors (118604819773440).

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

27668729088000 is a wasteful number, since it uses less digits than its factorization.

27668729088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 27668729088000 in words is "twenty-seven trillion, six hundred sixty-eight billion, seven hundred twenty-nine million, eighty-eight thousand".