663481368 has 384 divisors, whose sum is σ = 2264371200. Its totient is φ = 179625600.

The previous prime is 663481361. The next prime is 663481397. The reversal of 663481368 is 863184366.

663481368 is a `hidden beast` number, since 6 + 634 + 8 + 1 + 3 + 6 + 8 = 666.

663481368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663481361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9344773 + ... + 9344843.

It is an arithmetic number, because the mean of its divisors is an integer number (5896800).

Almost surely, 2^663481368 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 663481368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132185600).

663481368 is an abundant number, since it is smaller than the sum of its proper divisors (1600889832).

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

663481368 is a wasteful number, since it uses less digits than its factorization.

663481368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 663481368 is about 25758.1320751331. The cubic root of 663481368 is about 872.1869356262.

The spelling of 663481368 in words is "six hundred sixty-three million, four hundred eighty-one thousand, three hundred sixty-eight".