633405771168 has 96 divisors (see below), whose sum is σ = 1704590879040. Its totient is φ = 205822679040.

The previous prime is 633405771151. The next prime is 633405771181. The reversal of 633405771168 is 861177504336.

633405771168 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 633405771168.

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, 4963263 + ... + 5089281.

It is an arithmetic number, because the mean of its divisors is an integer number (17756154990).

Almost surely, 2^633405771168 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 633405771168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852295439520).

633405771168 is an abundant number, since it is smaller than the sum of its proper divisors (1071185107872).

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

633405771168 is a wasteful number, since it uses less digits than its factorization.

633405771168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127350 (or 127342 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 633405771168 in words is "six hundred thirty-three billion, four hundred five million, seven hundred seventy-one thousand, one hundred sixty-eight".