12003792768 has 384 divisors, whose sum is σ = 39155931360. Its totient is φ = 3498393600.

The previous prime is 12003792767. The next prime is 12003792791. The reversal of 12003792768 is 86729730021.

12003792768 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 379 + 276 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003792763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40968430 + ... + 40968722.

Almost surely, 2^12003792768 is an apocalyptic number.

12003792768 is a gapful number since it is divisible by the number (18) 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 12003792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577965680).

12003792768 is an abundant number, since it is smaller than the sum of its proper divisors (27152138592).

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

12003792768 is a wasteful number, since it uses less digits than its factorization.

12003792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12003792768 in words is "twelve billion, three million, seven hundred ninety-two thousand, seven hundred sixty-eight".