27204128640 has 640 divisors, whose sum is σ = 107550162720. Its totient is φ = 6509445120.

The previous prime is 27204128591. The next prime is 27204128641. The reversal of 27204128640 is 4682140272.

27204128640 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 4 + 1 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 27204128595 and 27204128604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27204128641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24934495 + ... + 24935585.

Almost surely, 2^27204128640 is an apocalyptic number.

27204128640 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 27204128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53775081360).

27204128640 is an abundant number, since it is smaller than the sum of its proper divisors (80346034080).

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

27204128640 is a wasteful number, since it uses less digits than its factorization.

27204128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27204128640 in words is "twenty-seven billion, two hundred four million, one hundred twenty-eight thousand, six hundred forty".