27742186368 has 768 divisors, whose sum is σ = 98552563200. Its totient is φ = 7685922816.

The previous prime is 27742186363. The next prime is 27742186477. The reversal of 27742186368 is 86368124772.

27742186368 is a `hidden beast` number, since 277 + 4 + 2 + 1 + 8 + 6 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27742186363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176701746 + ... + 176701902.

It is an arithmetic number, because the mean of its divisors is an integer number (128323650).

Almost surely, 2^27742186368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27742186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49276281600).

27742186368 is an abundant number, since it is smaller than the sum of its proper divisors (70810376832).

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

27742186368 is a wasteful number, since it uses less digits than its factorization.

27742186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 27742186368 in words is "twenty-seven billion, seven hundred forty-two million, one hundred eighty-six thousand, three hundred sixty-eight".