663234804000 has 480 divisors, whose sum is σ = 2577507908976. Its totient is φ = 166457548800.

The previous prime is 663234803999. The next prime is 663234804041. The reversal of 663234804000 is 408432366.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 284758842384 + 378475961616 = 533628^2 + 615204^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5447794 + ... + 5568206.

Almost surely, 2^663234804000 is an apocalyptic number.

663234804000 is a gapful number since it is divisible by the number (60) 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 663234804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288753954488).

663234804000 is an abundant number, since it is smaller than the sum of its proper divisors (1914273104976).

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

663234804000 is a wasteful number, since it uses less digits than its factorization.

663234804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120467 (or 120440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 663234804000 in words is "six hundred sixty-three billion, two hundred thirty-four million, eight hundred four thousand".