164520084960 has 960 divisors, whose sum is σ = 762075578880. Its totient is φ = 32382996480.

The previous prime is 164520084947. The next prime is 164520084961. The reversal of 164520084960 is 69480025461.

164520084960 is a `hidden beast` number, since 1 + 64 + 520 + 0 + 8 + 4 + 9 + 60 = 666.

164520084960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164520084961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18956142 + ... + 18964818.

It is an arithmetic number, because the mean of its divisors is an integer number (793828728).

Almost surely, 2^164520084960 is an apocalyptic number.

164520084960 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 164520084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381037789440).

164520084960 is an abundant number, since it is smaller than the sum of its proper divisors (597555493920).

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

164520084960 is a wasteful number, since it uses less digits than its factorization.

164520084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 164520084960 in words is "one hundred sixty-four billion, five hundred twenty million, eighty-four thousand, nine hundred sixty".