201579664000 has 512 divisors, whose sum is σ = 619918790400. Its totient is φ = 64088064000.

The previous prime is 201579663997. The next prime is 201579664031. The reversal of 201579664000 is 466975102.

201579664000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 43469682 + ... + 43474318.

Almost surely, 2^201579664000 is an apocalyptic number.

201579664000 is a gapful number since it is divisible by the number (20) 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 201579664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309959395200).

201579664000 is an abundant number, since it is smaller than the sum of its proper divisors (418339126400).

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

201579664000 is a wasteful number, since it uses less digits than its factorization.

201579664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4709 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 201579664000 in words is "two hundred one billion, five hundred seventy-nine million, six hundred sixty-four thousand".