164627841024 has 192 divisors, whose sum is σ = 480379938480. Its totient is φ = 54322790400.

The previous prime is 164627841019. The next prime is 164627841071. The reversal of 164627841024 is 420148726461.

164627841024 is a `hidden beast` number, since 1 + 6 + 4 + 627 + 8 + 4 + 10 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29783349 + ... + 29788875.

Almost surely, 2^164627841024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164627841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240189969240).

164627841024 is an abundant number, since it is smaller than the sum of its proper divisors (315752097456).

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

164627841024 is an equidigital number, since it uses as much as digits as its factorization.

164627841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 164627841024 in words is "one hundred sixty-four billion, six hundred twenty-seven million, eight hundred forty-one thousand, twenty-four".