168427738080 has 144 divisors (see below), whose sum is σ = 656868217824. Its totient is φ = 38497766400.

The previous prime is 168427738049. The next prime is 168427738081. The reversal of 168427738080 is 80837724861.

It is a happy number.

168427738080 is a `hidden beast` number, since 1 + 68 + 427 + 7 + 3 + 80 + 80 = 666.

168427738080 is digitally balanced in base 2, 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 a super-3 number, since 3×168427738080³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168427738081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8344471 + ... + 8364630.

It is an arithmetic number, because the mean of its divisors is an integer number (4561584846).

Almost surely, 2^168427738080 is an apocalyptic number.

168427738080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168427738080 is an abundant number, since it is smaller than the sum of its proper divisors (488440479744).

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

168427738080 is a wasteful number, since it uses less digits than its factorization.

168427738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16709129 (or 16709118 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 168427738080 in words is "one hundred sixty-eight billion, four hundred twenty-seven million, seven hundred thirty-eight thousand, eighty".