663687585792 has 1344 divisors, whose sum is σ = 2635644614400. Its totient is φ = 162756034560.

The previous prime is 663687585739. The next prime is 663687585851. The reversal of 663687585792 is 297585786366.

It is a happy number.

663687585792 is a `hidden beast` number, since 6 + 6 + 36 + 8 + 7 + 585 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 663687585792.

It is a congruent number.

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, 2265145198 + ... + 2265145490.

It is an arithmetic number, because the mean of its divisors is an integer number (1961045100).

Almost surely, 2^663687585792 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 663687585792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317822307200).

663687585792 is an abundant number, since it is smaller than the sum of its proper divisors (1971957028608).

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

663687585792 is a wasteful number, since it uses less digits than its factorization.

663687585792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 335 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 663687585792 in words is "six hundred sixty-three billion, six hundred eighty-seven million, five hundred eighty-five thousand, seven hundred ninety-two".