27342373112064 has 288 divisors, whose sum is σ = 85653975344000. Its totient is φ = 8579430752256.

The previous prime is 27342373112051. The next prime is 27342373112077. The reversal of 27342373112064 is 46021137324372.

27342373112064 is a `hidden beast` number, since 2 + 7 + 3 + 423 + 7 + 3 + 11 + 206 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (27342373112051) and next prime (27342373112077).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19955442 + ... + 21281550.

Almost surely, 2^{27342373112064} is an apocalyptic number.

27342373112064 is a gapful number since it is divisible by the number (24) 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 27342373112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42826987672000).

27342373112064 is an abundant number, since it is smaller than the sum of its proper divisors (58311602231936).

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

27342373112064 is a wasteful number, since it uses less digits than its factorization.

27342373112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326310 (or 1326290 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 27342373112064 in words is "twenty-seven trillion, three hundred forty-two billion, three hundred seventy-three million, one hundred twelve thousand, sixty-four".