663908044800 has 2496 divisors, whose sum is σ = 3145142697984. Its totient is φ = 118908518400.

The previous prime is 663908044757. The next prime is 663908044831. The reversal of 663908044800 is 8440809366.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is a self number, because there is not a number n which added to its sum of digits gives 663908044800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5227622337 + ... + 5227622463.

Almost surely, 2^663908044800 is an apocalyptic number.

663908044800 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 663908044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572571348992).

663908044800 is an abundant number, since it is smaller than the sum of its proper divisors (2481234653184).

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

663908044800 is a wasteful number, since it uses less digits than its factorization.

663908044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 663908044800 in words is "six hundred sixty-three billion, nine hundred eight million, forty-four thousand, eight hundred".