27368340480 has 704 divisors, whose sum is σ = 106497713280. Its totient is φ = 6624903168.

The previous prime is 27368340469. The next prime is 27368340497. The reversal of 27368340480 is 8404386372.

27368340480 is a `hidden beast` number, since 2 + 73 + 68 + 3 + 40 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 174320562 + ... + 174320718.

Almost surely, 2^27368340480 is an apocalyptic number.

27368340480 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 27368340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53248856640).

27368340480 is an abundant number, since it is smaller than the sum of its proper divisors (79129372800).

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

27368340480 is a wasteful number, since it uses less digits than its factorization.

27368340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 27368340480 in words is "twenty-seven billion, three hundred sixty-eight million, three hundred forty thousand, four hundred eighty".