663083845632 has 1152 divisors, whose sum is σ = 2318150016000. Its totient is φ = 180627701760.

The previous prime is 663083845621. The next prime is 663083845733. The reversal of 663083845632 is 236548380366.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7450380244 + ... + 7450380332.

It is an arithmetic number, because the mean of its divisors is an integer number (2012283000).

Almost surely, 2^663083845632 is an apocalyptic number.

663083845632 is a gapful number since it is divisible by the number (62) 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 663083845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159075008000).

663083845632 is an abundant number, since it is smaller than the sum of its proper divisors (1655066170368).

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

663083845632 is a wasteful number, since it uses less digits than its factorization.

663083845632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 663083845632 in words is "six hundred sixty-three billion, eighty-three million, eight hundred forty-five thousand, six hundred thirty-two".