663528083328 has 288 divisors, whose sum is σ = 2101048087320. Its totient is φ = 200847144960.

The previous prime is 663528083321. The next prime is 663528083371. The reversal of 663528083328 is 823380825366.

663528083328 is a `hidden beast` number, since 6 + 6 + 3 + 528 + 0 + 83 + 32 + 8 = 666.

663528083328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663528083321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162110850 + ... + 162114942.

Almost surely, 2^663528083328 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 663528083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050524043660).

663528083328 is an abundant number, since it is smaller than the sum of its proper divisors (1437520003992).

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

663528083328 is a wasteful number, since it uses less digits than its factorization.

663528083328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 663528083328 in words is "six hundred sixty-three billion, five hundred twenty-eight million, eighty-three thousand, three hundred twenty-eight".