663937560 has 320 divisors, whose sum is σ = 2623531680. Its totient is φ = 148469760.

The previous prime is 663937523. The next prime is 663937607. The reversal of 663937560 is 65739366.

663937560 is a `hidden beast` number, since 6 + 639 + 3 + 7 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 462604 + ... + 464036.

Almost surely, 2^663937560 is an apocalyptic number.

663937560 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 663937560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311765840).

663937560 is an abundant number, since it is smaller than the sum of its proper divisors (1959594120).

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

663937560 is a wasteful number, since it uses less digits than its factorization.

663937560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 663937560 is about 25766.9858539954. The cubic root of 663937560 is about 872.3867872799.

The spelling of 663937560 in words is "six hundred sixty-three million, nine hundred thirty-seven thousand, five hundred sixty".