663133824 has 128 divisors (see below), whose sum is σ = 2072476800. Its totient is φ = 208023552.

The previous prime is 663133819. The next prime is 663133829. The reversal of 663133824 is 428331366.

It is an interprime number because it is at equal distance from previous prime (663133819) and next prime (663133829).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (663133829) 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 15 ways as a sum of consecutive naturals, for example, 53109 + ... + 64395.

It is an arithmetic number, because the mean of its divisors is an integer number (16191225).

Almost surely, 2^663133824 is an apocalyptic number.

663133824 is a gapful number since it is divisible by the number (64) 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 663133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036238400).

663133824 is an abundant number, since it is smaller than the sum of its proper divisors (1409342976).

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

663133824 is a wasteful number, since it uses less digits than its factorization.

663133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11327 (or 11309 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 663133824 is about 25751.3848947974. The cubic root of 663133824 is about 872.0346197292.

The spelling of 663133824 in words is "six hundred sixty-three million, one hundred thirty-three thousand, eight hundred twenty-four".