663424819200 has 1344 divisors, whose sum is σ = 2866841510400. Its totient is φ = 148281753600.

The previous prime is 663424819111. The next prime is 663424819223. The reversal of 663424819200 is 2918424366.

663424819200 is a `hidden beast` number, since 6 + 6 + 3 + 424 + 8 + 19 + 200 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790732381 + ... + 790733219.

It is an arithmetic number, because the mean of its divisors is an integer number (2133066600).

Almost surely, 2^663424819200 is an apocalyptic number.

663424819200 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 663424819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433420755200).

663424819200 is an abundant number, since it is smaller than the sum of its proper divisors (2203416691200).

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

663424819200 is a wasteful number, since it uses less digits than its factorization.

663424819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 663424819200 in words is "six hundred sixty-three billion, four hundred twenty-four million, eight hundred nineteen thousand, two hundred".