27320688000 has 768 divisors, whose sum is σ = 104702232960. Its totient is φ = 6812467200.

The previous prime is 27320687971. The next prime is 27320688007. The reversal of 27320688000 is 88602372.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27320688007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241775944 + ... + 241776056.

Almost surely, 2^27320688000 is an apocalyptic number.

27320688000 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 27320688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52351116480).

27320688000 is an abundant number, since it is smaller than the sum of its proper divisors (77381544960).

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

27320688000 is a wasteful number, since it uses less digits than its factorization.

27320688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27320688000 in words is "twenty-seven billion, three hundred twenty million, six hundred eighty-eight thousand".