201607968768 has 192 divisors, whose sum is σ = 546888101760. Its totient is φ = 66038169600.

The previous prime is 201607968707. The next prime is 201607968823. The reversal of 201607968768 is 867869706102.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86119278 + ... + 86121618.

It is an arithmetic number, because the mean of its divisors is an integer number (2848375530).

Almost surely, 2^201607968768 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 201607968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273444050880).

201607968768 is an abundant number, since it is smaller than the sum of its proper divisors (345280132992).

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

201607968768 is a wasteful number, since it uses less digits than its factorization.

201607968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 201607968768 in words is "two hundred one billion, six hundred seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".