663643113144624 has 240 divisors, whose sum is σ = 1973609662965600. Its totient is φ = 213504436984320.

The previous prime is 663643113144617. The next prime is 663643113144629. The reversal of 663643113144624 is 426441311346366.

663643113144624 is a `hidden beast` number, since 6 + 6 + 3 + 6 + 4 + 3 + 1 + 1 + 3 + 1 + 4 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (663643113144629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152708862 + ... + 156994530.

It is an arithmetic number, because the mean of its divisors is an integer number (8223373595690).

Almost surely, 2^{663643113144624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663643113144624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986804831482800).

663643113144624 is an abundant number, since it is smaller than the sum of its proper divisors (1309966549820976).

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

663643113144624 is a wasteful number, since it uses less digits than its factorization.

663643113144624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286121 (or 4286078 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 663643113144624 in words is "six hundred sixty-three trillion, six hundred forty-three billion, one hundred thirteen million, one hundred forty-four thousand, six hundred twenty-four".