663832532617920 has 896 divisors, whose sum is σ = 2391750403891200. Its totient is φ = 173280334233600.

The previous prime is 663832532617873. The next prime is 663832532617927. The reversal of 663832532617920 is 29716235238366.

It is a happy number.

663832532617920 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 3 + 2 + 5 + 3 + 2 + 617 + 9 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (663832532617927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105891292546 + ... + 105891298814.

Almost surely, 2^{663832532617920} is an apocalyptic number.

663832532617920 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 663832532617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195875201945600).

663832532617920 is an abundant number, since it is smaller than the sum of its proper divisors (1727917871273280).

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

663832532617920 is a wasteful number, since it uses less digits than its factorization.

663832532617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 663832532617920 in words is "six hundred sixty-three trillion, eight hundred thirty-two billion, five hundred thirty-two million, six hundred seventeen thousand, nine hundred twenty".