665742033792 has 192 divisors, whose sum is σ = 2111449682160. Its totient is φ = 199659847680.

The previous prime is 665742033779. The next prime is 665742033793. The reversal of 665742033792 is 297330247566.

665742033792 is a `hidden beast` number, since 6 + 65 + 7 + 4 + 203 + 379 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665742033793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 958378 + ... + 1499990.

Almost surely, 2^665742033792 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 665742033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055724841080).

665742033792 is an abundant number, since it is smaller than the sum of its proper divisors (1445707648368).

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

665742033792 is a wasteful number, since it uses less digits than its factorization.

665742033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541741 (or 541726 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 665742033792 in words is "six hundred sixty-five billion, seven hundred forty-two million, thirty-three thousand, seven hundred ninety-two".