663594480806400 has 11520 divisors, whose sum is σ = 3351133513728000. Its totient is φ = 127274582016000.

The previous prime is 663594480806377. The next prime is 663594480806441. The reversal of 663594480806400 is 4608084495366.

663594480806400 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 94 + 480 + 8 + 0 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (11520).

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 1151 ways as a sum of consecutive naturals, for example, 4453654233526 + ... + 4453654233674.

It is an arithmetic number, because the mean of its divisors is an integer number (290897006400).

Almost surely, 2^{663594480806400} is an apocalyptic number.

663594480806400 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 663594480806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675566756864000).

663594480806400 is an abundant number, since it is smaller than the sum of its proper divisors (2687539032921600).

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

663594480806400 is a wasteful number, since it uses less digits than its factorization.

663594480806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 663594480806400 in words is "six hundred sixty-three trillion, five hundred ninety-four billion, four hundred eighty million, eight hundred six thousand, four hundred".