663723590400 has 1512 divisors, whose sum is σ = 2745895668096. Its totient is φ = 157659955200.

The previous prime is 663723590371. The next prime is 663723590423. The reversal of 663723590400 is 4095327366.

663723590400 is a `hidden beast` number, since 6 + 6 + 3 + 7 + 235 + 9 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1880236624 + ... + 1880236976.

Almost surely, 2^663723590400 is an apocalyptic number.

663723590400 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 663723590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372947834048).

663723590400 is an abundant number, since it is smaller than the sum of its proper divisors (2082172077696).

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

663723590400 is a wasteful number, since it uses less digits than its factorization.

663723590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 663723590400 in words is "six hundred sixty-three billion, seven hundred twenty-three million, five hundred ninety thousand, four hundred".