663082152096000 has 2304 divisors, whose sum is σ = 2794544095150080. Its totient is φ = 135640114790400.

The previous prime is 663082152095921. The next prime is 663082152096121. The reversal of 663082152096000 is 690251280366.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 37625943189 + ... + 37625960811.

It is an arithmetic number, because the mean of its divisors is an integer number (1212909763520).

Almost surely, 2^{663082152096000} is an apocalyptic number.

663082152096000 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 663082152096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397272047575040).

663082152096000 is an abundant number, since it is smaller than the sum of its proper divisors (2131461943054080).

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

663082152096000 is a wasteful number, since it uses less digits than its factorization.

663082152096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17785 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 663082152096000 in words is "six hundred sixty-three trillion, eighty-two billion, one hundred fifty-two million, ninety-six thousand".