27042346679040 has 5184 divisors, whose sum is σ = 133473511342080. Its totient is φ = 5079158784000.

The previous prime is 27042346679003. The next prime is 27042346679093. The reversal of 27042346679040 is 4097664324072.

27042346679040 is a `hidden beast` number, since 2 + 70 + 4 + 2 + 3 + 466 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 380878122205 + ... + 380878122275.

It is an arithmetic number, because the mean of its divisors is an integer number (25747205120).

Almost surely, 2^{27042346679040} is an apocalyptic number.

27042346679040 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 27042346679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66736755671040).

27042346679040 is an abundant number, since it is smaller than the sum of its proper divisors (106431164663040).

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

27042346679040 is an equidigital number, since it uses as much as digits as its factorization.

27042346679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 27042346679040 in words is "twenty-seven trillion, forty-two billion, three hundred forty-six million, six hundred seventy-nine thousand, forty".