27068404746240 has 4608 divisors, whose sum is σ = 126519476428800. Its totient is φ = 5400145428480.

The previous prime is 27068404746191. The next prime is 27068404746247. The reversal of 27068404746240 is 4264740486072.

27068404746240 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 8 + 4 + 0 + 4 + 7 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27068404746247) 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 383 ways as a sum of consecutive naturals, for example, 262800046029 + ... + 262800046131.

It is an arithmetic number, because the mean of its divisors is an integer number (27456483600).

Almost surely, 2^{27068404746240} is an apocalyptic number.

27068404746240 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 27068404746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63259738214400).

27068404746240 is an abundant number, since it is smaller than the sum of its proper divisors (99451071682560).

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

27068404746240 is a wasteful number, since it uses less digits than its factorization.

27068404746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 27068404746240 in words is "twenty-seven trillion, sixty-eight billion, four hundred four million, seven hundred forty-six thousand, two hundred forty".