42727697895168 has 648 divisors, whose sum is σ = 150532977678720. Its totient is φ = 11566231142400.

The previous prime is 42727697895163. The next prime is 42727697895187. The reversal of 42727697895168 is 86159879672724.

42727697895168 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 7 + 6 + 97 + 8 + 9 + 516 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42727697895163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112159798 + ... + 112540106.

Almost surely, 2^{42727697895168} is an apocalyptic number.

42727697895168 is a gapful number since it is divisible by the number (48) 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 42727697895168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75266488839360).

42727697895168 is an abundant number, since it is smaller than the sum of its proper divisors (107805279783552).

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

42727697895168 is a wasteful number, since it uses less digits than its factorization.

42727697895168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380397 (or 380369 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 42727697895168 in words is "forty-two trillion, seven hundred twenty-seven billion, six hundred ninety-seven million, eight hundred ninety-five thousand, one hundred sixty-eight".