27332066304 has 176 divisors, whose sum is σ = 81709689600. Its totient is φ = 9024565248.

The previous prime is 27332066297. The next prime is 27332066327. The reversal of 27332066304 is 40366023372.

27332066304 is a `hidden beast` number, since 27 + 3 + 320 + 6 + 6 + 304 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953717 + ... + 2962955.

It is an arithmetic number, because the mean of its divisors is an integer number (464259600).

Almost surely, 2^27332066304 is an apocalyptic number.

27332066304 is a gapful number since it is divisible by the number (24) 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 27332066304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40854844800).

27332066304 is an abundant number, since it is smaller than the sum of its proper divisors (54377623296).

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

27332066304 is a wasteful number, since it uses less digits than its factorization.

27332066304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9375 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Adding to 27332066304 its reverse (40366023372), we get a palindrome (67698089676).

The spelling of 27332066304 in words is "twenty-seven billion, three hundred thirty-two million, sixty-six thousand, three hundred four".