663507520 has 84 divisors (see below), whose sum is σ = 1711002420. Its totient is φ = 244967424.

The previous prime is 663507511. The next prime is 663507521. The reversal of 663507520 is 25705366.

It can be written as a sum of positive squares in 6 ways, for example, as 22810176 + 640697344 = 4776^2 + 25312^2 .

It is not an unprimeable number, because it can be changed into a prime (663507521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47946 + ... + 60214.

Almost surely, 2^663507520 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 663507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855501210).

663507520 is an abundant number, since it is smaller than the sum of its proper divisors (1047494900).

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

663507520 is a wasteful number, since it uses less digits than its factorization.

663507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 663507520 is about 25758.6397156372. The cubic root of 663507520 is about 872.1983949447.

The spelling of 663507520 in words is "six hundred sixty-three million, five hundred seven thousand, five hundred twenty".