164016664560 has 320 divisors, whose sum is σ = 646997160960. Its totient is φ = 37411476480.

The previous prime is 164016664507. The next prime is 164016664631. The reversal of 164016664560 is 65466610461.

It is a happy number.

164016664560 is digitally balanced in base 2, 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7412874 + ... + 7434966.

It is an arithmetic number, because the mean of its divisors is an integer number (2021866128).

Almost surely, 2^164016664560 is an apocalyptic number.

164016664560 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 164016664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323498580480).

164016664560 is an abundant number, since it is smaller than the sum of its proper divisors (482980496400).

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

164016664560 is a wasteful number, since it uses less digits than its factorization.

164016664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22613 (or 22601 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 164016664560 in words is "one hundred sixty-four billion, sixteen million, six hundred sixty-four thousand, five hundred sixty".