633048768 has 252 divisors, whose sum is σ = 2065836864. Its totient is φ = 185011200.

The previous prime is 633048761. The next prime is 633048817. The reversal of 633048768 is 867840336.

633048768 is a `hidden beast` number, since 633 + 0 + 4 + 8 + 7 + 6 + 8 = 666.

633048768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (633048761) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2160430 + ... + 2160722.

Almost surely, 2^633048768 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 633048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032918432).

633048768 is an abundant number, since it is smaller than the sum of its proper divisors (1432788096).

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

633048768 is a wasteful number, since it uses less digits than its factorization.

633048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 633048768 is about 25160.4604091420. The cubic root of 633048768 is about 858.6425167562.

The spelling of 633048768 in words is "six hundred thirty-three million, forty-eight thousand, seven hundred sixty-eight".