663600434040 has 192 divisors, whose sum is σ = 2245525027200. Its totient is φ = 169813555200.

The previous prime is 663600434039. The next prime is 663600434059. The reversal of 663600434040 is 40434006366.

663600434040 is a `hidden beast` number, since 6 + 6 + 3 + 600 + 4 + 3 + 4 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 663600433986 and 663600434004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531841 + ... + 1268879.

It is an arithmetic number, because the mean of its divisors is an integer number (11695442850).

Almost surely, 2^663600434040 is an apocalyptic number.

663600434040 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 663600434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122762513600).

663600434040 is an abundant number, since it is smaller than the sum of its proper divisors (1581924593160).

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

663600434040 is a wasteful number, since it uses less digits than its factorization.

663600434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737158 (or 737151 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 663600434040 in words is "six hundred sixty-three billion, six hundred million, four hundred thirty-four thousand, forty".