663406848 has 360 divisors, whose sum is σ = 2243723328. Its totient is φ = 193425408.

The previous prime is 663406847. The next prime is 663406853. The reversal of 663406848 is 848604366.

663406848 is a `hidden beast` number, since 6 + 634 + 0 + 6 + 8 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663406847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6200011 + ... + 6200117.

Almost surely, 2^663406848 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 663406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121861664).

663406848 is an abundant number, since it is smaller than the sum of its proper divisors (1580316480).

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

663406848 is a wasteful number, since it uses less digits than its factorization.

663406848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 663406848 is about 25756.6855010500. The cubic root of 663406848 is about 872.1542807007.

The spelling of 663406848 in words is "six hundred sixty-three million, four hundred six thousand, eight hundred forty-eight".