27408700343304 has 144 divisors (see below), whose sum is σ = 89549590057200. Its totient is φ = 7831057213728.

The previous prime is 27408700343279. The next prime is 27408700343327. The reversal of 27408700343304 is 40334300780472.

27408700343304 is a `hidden beast` number, since 274 + 0 + 8 + 7 + 0 + 0 + 343 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 27408700343304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143773374 + ... + 143963885.

It is an arithmetic number, because the mean of its divisors is an integer number (621872153175).

Almost surely, 2^{27408700343304} is an apocalyptic number.

27408700343304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27408700343304 is an abundant number, since it is smaller than the sum of its proper divisors (62140889713896).

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

27408700343304 is a wasteful number, since it uses less digits than its factorization.

27408700343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287737294 (or 287737271 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 27408700343304 in words is "twenty-seven trillion, four hundred eight billion, seven hundred million, three hundred forty-three thousand, three hundred four".