27328540680 has 288 divisors, whose sum is σ = 103509282240. Its totient is φ = 6235004160.

The previous prime is 27328540667. The next prime is 27328540691. The reversal of 27328540680 is 8604582372.

27328540680 is a `hidden beast` number, since 2 + 7 + 3 + 28 + 540 + 6 + 80 = 666.

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 71 ways as a sum of consecutive naturals, for example, 12823215 + ... + 12825345.

It is an arithmetic number, because the mean of its divisors is an integer number (359407230).

Almost surely, 2^27328540680 is an apocalyptic number.

27328540680 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 27328540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51754641120).

27328540680 is an abundant number, since it is smaller than the sum of its proper divisors (76180741560).

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

27328540680 is a wasteful number, since it uses less digits than its factorization.

27328540680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2875 counting only the distinct ones).

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

The spelling of 27328540680 in words is "twenty-seven billion, three hundred twenty-eight million, five hundred forty thousand, six hundred eighty".