164017728000 has 960 divisors, whose sum is σ = 711021991680. Its totient is φ = 35500032000.

The previous prime is 164017727977. The next prime is 164017728011. The reversal of 164017728000 is 827710461.

164017728000 is a `hidden beast` number, since 1 + 640 + 1 + 7 + 7 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 76606930 + ... + 76609070.

It is an arithmetic number, because the mean of its divisors is an integer number (740647908).

Almost surely, 2^164017728000 is an apocalyptic number.

164017728000 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 164017728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355510995840).

164017728000 is an abundant number, since it is smaller than the sum of its proper divisors (547004263680).

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

164017728000 is a wasteful number, since it uses less digits than its factorization.

164017728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 164017728000 in words is "one hundred sixty-four billion, seventeen million, seven hundred twenty-eight thousand".