27075732320 has 384 divisors, whose sum is σ = 81935400960. Its totient is φ = 8224727040.

The previous prime is 27075732259. The next prime is 27075732349. The reversal of 27075732320 is 2323757072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100653146 + ... + 100653414.

It is an arithmetic number, because the mean of its divisors is an integer number (213373440).

Almost surely, 2^27075732320 is an apocalyptic number.

27075732320 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 27075732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40967700480).

27075732320 is an abundant number, since it is smaller than the sum of its proper divisors (54859668640).

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

27075732320 is a wasteful number, since it uses less digits than its factorization.

27075732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 38.

The spelling of 27075732320 in words is "twenty-seven billion, seventy-five million, seven hundred thirty-two thousand, three hundred twenty".