27324568080 has 640 divisors, whose sum is σ = 102593433600. Its totient is φ = 6668697600.

The previous prime is 27324568067. The next prime is 27324568093. The reversal of 27324568080 is 8086542372.

27324568080 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 4 + 568 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (27324568067) and next prime (27324568093).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101578186 + ... + 101578454.

It is an arithmetic number, because the mean of its divisors is an integer number (160302240).

Almost surely, 2^27324568080 is an apocalyptic number.

27324568080 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 27324568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51296716800).

27324568080 is an abundant number, since it is smaller than the sum of its proper divisors (75268865520).

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

27324568080 is a wasteful number, since it uses less digits than its factorization.

27324568080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27324568080 in words is "twenty-seven billion, three hundred twenty-four million, five hundred sixty-eight thousand, eighty".