201664732032 has 384 divisors, whose sum is σ = 632810374560. Its totient is φ = 61403037696.

The previous prime is 201664732001. The next prime is 201664732037. The reversal of 201664732032 is 230237466102.

201664732032 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 647 + 3 + 2 + 0 + 3 + 2 = 666.

201664732032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201664732037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 100680343 + ... + 100682345.

Almost surely, 2^201664732032 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 201664732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316405187280).

201664732032 is an abundant number, since it is smaller than the sum of its proper divisors (431145642528).

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

201664732032 is a wasteful number, since it uses less digits than its factorization.

201664732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 201664732032 in words is "two hundred one billion, six hundred sixty-four million, seven hundred thirty-two thousand, thirty-two".