663227136000 has 2304 divisors, whose sum is σ = 2949917443200. Its totient is φ = 145981440000.

The previous prime is 663227135981. The next prime is 663227136023. The reversal of 663227136000 is 631722366.

663227136000 is a `hidden beast` number, since 6 + 6 + 32 + 2 + 7 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10872575970 + ... + 10872576030.

Almost surely, 2^663227136000 is an apocalyptic number.

663227136000 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 663227136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474958721600).

663227136000 is an abundant number, since it is smaller than the sum of its proper divisors (2286690307200).

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

663227136000 is a wasteful number, since it uses less digits than its factorization.

663227136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 663227136000 its reverse (631722366), we get a palindrome (663858858366).

The spelling of 663227136000 in words is "six hundred sixty-three billion, two hundred twenty-seven million, one hundred thirty-six thousand".