27367542249642 has 96 divisors (see below), whose sum is σ = 68434118887680. Its totient is φ = 7742721934080.

The previous prime is 27367542249577. The next prime is 27367542249643. The reversal of 27367542249642 is 24694224576372.

27367542249642 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 7 + 542 + 2 + 49 + 6 + 42 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27367542249642.

It is not an unprimeable number, because it can be changed into a prime (27367542249643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2738659 + ... + 7888937.

It is an arithmetic number, because the mean of its divisors is an integer number (712855405080).

Almost surely, 2^{27367542249642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27367542249642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34217059443840).

27367542249642 is an abundant number, since it is smaller than the sum of its proper divisors (41066576638038).

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

27367542249642 is a wasteful number, since it uses less digits than its factorization.

27367542249642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150708 (or 5150705 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 27367542249642 in words is "twenty-seven trillion, three hundred sixty-seven billion, five hundred forty-two million, two hundred forty-nine thousand, six hundred forty-two".