164607005766060 has 288 divisors, whose sum is σ = 586708376724288. Its totient is φ = 36828298045440.

The previous prime is 164607005766029. The next prime is 164607005766083. The reversal of 164607005766060 is 60667500706461.

It is a happy number.

164607005766060 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 7 + 0 + 0 + 576 + 6 + 0 + 60 = 666.

164607005766060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164607005765988 and 164607005766006.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138739914 + ... + 139921326.

It is an arithmetic number, because the mean of its divisors is an integer number (2037181863626).

Almost surely, 2^{164607005766060} is an apocalyptic number.

164607005766060 is a gapful number since it is divisible by the number (10) 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 164607005766060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293354188362144).

164607005766060 is an abundant number, since it is smaller than the sum of its proper divisors (422101370958228).

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

164607005766060 is a wasteful number, since it uses less digits than its factorization.

164607005766060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186865 (or 1186860 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 164607005766060 in words is "one hundred sixty-four trillion, six hundred seven billion, five million, seven hundred sixty-six thousand, sixty".