168429727008 has 144 divisors (see below), whose sum is σ = 492225552000. Its totient is φ = 54591625728.

The previous prime is 168429727003. The next prime is 168429727033. The reversal of 168429727008 is 800727924861.

It is a happy number.

168429727008 is a `hidden beast` number, since 1 + 6 + 84 + 297 + 270 + 0 + 8 = 666.

168429727008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (168429727003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21297391 + ... + 21305297.

It is an arithmetic number, because the mean of its divisors is an integer number (3418233000).

Almost surely, 2^168429727008 is an apocalyptic number.

168429727008 is a gapful number since it is divisible by the number (18) 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 168429727008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246112776000).

168429727008 is an abundant number, since it is smaller than the sum of its proper divisors (323795824992).

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

168429727008 is a wasteful number, since it uses less digits than its factorization.

168429727008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 168429727008 in words is "one hundred sixty-eight billion, four hundred twenty-nine million, seven hundred twenty-seven thousand, eight".