4169664000 has 640 divisors, whose sum is σ = 16341811200. Its totient is φ = 1045094400.

The previous prime is 4169663969. The next prime is 4169664011. The reversal of 4169664000 is 4669614.

4169664000 is a `hidden beast` number, since 4 + 1 + 6 + 9 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32831937 + ... + 32832063.

It is an arithmetic number, because the mean of its divisors is an integer number (25534080).

Almost surely, 2^4169664000 is an apocalyptic number.

4169664000 is a gapful number since it is divisible by the number (40) 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 4169664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170905600).

4169664000 is an abundant number, since it is smaller than the sum of its proper divisors (12172147200).

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

4169664000 is a wasteful number, since it uses less digits than its factorization.

4169664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4169664000 is about 64572.9355070683. The cubic root of 4169664000 is about 1609.5347343261.

The spelling of 4169664000 in words is "four billion, one hundred sixty-nine million, six hundred sixty-four thousand".