663545088000 has 768 divisors, whose sum is σ = 2597799859200. Its totient is φ = 166507315200.

The previous prime is 663545087971. The next prime is 663545088023. The reversal of 663545088000 is 880545366.

663545088000 is a `hidden beast` number, since 6 + 63 + 5 + 4 + 508 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117501177 + ... + 117506823.

It is an arithmetic number, because the mean of its divisors is an integer number (3382551900).

Almost surely, 2^663545088000 is an apocalyptic number.

663545088000 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 663545088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298899929600).

663545088000 is an abundant number, since it is smaller than the sum of its proper divisors (1934254771200).

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

663545088000 is a wasteful number, since it uses less digits than its factorization.

663545088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 663545088000 in words is "six hundred sixty-three billion, five hundred forty-five million, eighty-eight thousand".