164017327680000 has 4000 divisors, whose sum is σ = 676566981763200. Its totient is φ = 39410122752000.

The previous prime is 164017327679917. The next prime is 164017327680007. The reversal of 164017327680000 is 86723710461.

It is a tau number, because it is divible by the number of its divisors (4000).

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

It is not an unprimeable number, because it can be changed into a prime (164017327680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 916297919911 + ... + 916297920089.

Almost surely, 2^{164017327680000} is an apocalyptic number.

164017327680000 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 164017327680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338283490881600).

164017327680000 is an abundant number, since it is smaller than the sum of its proper divisors (512549654083200).

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

164017327680000 is an equidigital number, since it uses as much as digits as its factorization.

164017327680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 164017327680000 in words is "one hundred sixty-four trillion, seventeen billion, three hundred twenty-seven million, six hundred eighty thousand".