663167894400 has 864 divisors, whose sum is σ = 2657009628000. Its totient is φ = 157308518400.

The previous prime is 663167894371. The next prime is 663167894437. The reversal of 663167894400 is 4498761366.

663167894400 is a `hidden beast` number, since 6 + 63 + 1 + 67 + 89 + 440 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 163783576 + ... + 163787624.

It is an arithmetic number, because the mean of its divisors is an integer number (3075242625).

Almost surely, 2^663167894400 is an apocalyptic number.

663167894400 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 663167894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328504814000).

663167894400 is an abundant number, since it is smaller than the sum of its proper divisors (1993841733600).

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

663167894400 is a wasteful number, since it uses less digits than its factorization.

663167894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 663167894400 in words is "six hundred sixty-three billion, one hundred sixty-seven million, eight hundred ninety-four thousand, four hundred".