663969405960 has 1920 divisors, whose sum is σ = 2895630962400. Its totient is φ = 135444234240.

The previous prime is 663969405959. The next prime is 663969406007. The reversal of 663969405960 is 69504969366.

663969405960 is a `hidden beast` number, since 6 + 6 + 39 + 6 + 9 + 4 + 0 + 596 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 150508306116 + 513461099844 = 387954^2 + 716562^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6091462386 + ... + 6091462494.

Almost surely, 2^663969405960 is an apocalyptic number.

663969405960 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 663969405960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447815481200).

663969405960 is an abundant number, since it is smaller than the sum of its proper divisors (2231661556440).

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

663969405960 is a wasteful number, since it uses less digits than its factorization.

663969405960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 663969405960 in words is "six hundred sixty-three billion, nine hundred sixty-nine million, four hundred five thousand, nine hundred sixty".