663107440 has 80 divisors (see below), whose sum is σ = 1643734080. Its totient is φ = 247910400.

The previous prime is 663107407. The next prime is 663107477. The reversal of 663107440 is 44701366.

663107440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×663107440² = 879422953966707200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203746 + ... + 206974.

It is an arithmetic number, because the mean of its divisors is an integer number (20546676).

Almost surely, 2^663107440 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 663107440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821867040).

663107440 is an abundant number, since it is smaller than the sum of its proper divisors (980626640).

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

663107440 is a wasteful number, since it uses less digits than its factorization.

663107440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 663107440 is about 25750.8726065739. The cubic root of 663107440 is about 872.0230544083.

The spelling of 663107440 in words is "six hundred sixty-three million, one hundred seven thousand, four hundred forty".