663153506000 has 80 divisors (see below), whose sum is σ = 1604747773200. Its totient is φ = 265055846400.

The previous prime is 663153505939. The next prime is 663153506003. The reversal of 663153506000 is 605351366.

663153506000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 143104837264 + 520048668736 = 378292^2 + 721144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663153506003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2466176 + ... + 2721824.

It is an arithmetic number, because the mean of its divisors is an integer number (20059347165).

Almost surely, 2^663153506000 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 663153506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802373886600).

663153506000 is an abundant number, since it is smaller than the sum of its proper divisors (941594267200).

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

663153506000 is a wasteful number, since it uses less digits than its factorization.

663153506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256969 (or 256953 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 663153506000 its reverse (605351366), we get a palindrome (663758857366).

The spelling of 663153506000 in words is "six hundred sixty-three billion, one hundred fifty-three million, five hundred six thousand".