27340838074368 has 2304 divisors, whose sum is σ = 106477275340800. Its totient is φ = 6882573680640.

The previous prime is 27340838074367. The next prime is 27340838074391. The reversal of 27340838074368 is 86347083804372.

27340838074368 is a `hidden beast` number, since 2 + 7 + 3 + 40 + 83 + 80 + 7 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27340838074367) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374532028380 + ... + 374532028452.

It is an arithmetic number, because the mean of its divisors is an integer number (46214095200).

Almost surely, 2^{27340838074368} is an apocalyptic number.

27340838074368 is a gapful number since it is divisible by the number (28) 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 27340838074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53238637670400).

27340838074368 is an abundant number, since it is smaller than the sum of its proper divisors (79136437266432).

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

27340838074368 is an frugal number, since it uses more digits than its factorization.

27340838074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 27340838074368 in words is "twenty-seven trillion, three hundred forty billion, eight hundred thirty-eight million, seventy-four thousand, three hundred sixty-eight".