663118410240 has 2400 divisors, whose sum is σ = 2987071940160. Its totient is φ = 139266293760.

The previous prime is 663118410239. The next prime is 663118410257. The reversal of 663118410240 is 42014811366.

663118410240 is a `hidden beast` number, since 6 + 631 + 1 + 8 + 4 + 10 + 2 + 4 + 0 = 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 = 663118410195 and 663118410204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6197368267 + ... + 6197368373.

Almost surely, 2^663118410240 is an apocalyptic number.

663118410240 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 663118410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493535970080).

663118410240 is an abundant number, since it is smaller than the sum of its proper divisors (2323953529920).

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

663118410240 is a wasteful number, since it uses less digits than its factorization.

663118410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 663118410240 in words is "six hundred sixty-three billion, one hundred eighteen million, four hundred ten thousand, two hundred forty".