164467120068 has 72 divisors (see below), whose sum is σ = 419953113216. Its totient is φ = 54266774400.

The previous prime is 164467120067. The next prime is 164467120079. The reversal of 164467120068 is 860021764461.

164467120068 is a `hidden beast` number, since 1 + 6 + 4 + 467 + 120 + 0 + 68 = 666.

164467120068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164467120067) 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, 10044208 + ... + 10060568.

It is an arithmetic number, because the mean of its divisors is an integer number (5832682128).

Almost surely, 2^164467120068 is an apocalyptic number.

164467120068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164467120068 is an abundant number, since it is smaller than the sum of its proper divisors (255485993148).

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

164467120068 is a wasteful number, since it uses less digits than its factorization.

164467120068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19185 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 164467120068 in words is "one hundred sixty-four billion, four hundred sixty-seven million, one hundred twenty thousand, sixty-eight".