675753049764 has 189 divisors, whose sum is σ = 1921560730929. Its totient is φ = 207746454240.

The previous prime is 675753049733. The next prime is 675753049771. The reversal of 675753049764 is 467940357576.

It is a happy number.

The square root of 675753049764 is 822042.

It is a perfect power (a square), and thus also a powerful number.

675753049764 is a `hidden beast` number, since 6 + 7 + 5 + 7 + 530 + 4 + 97 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99963468900 + 575789580864 = 316170^2 + 758808^2 .

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 62 ways as a sum of consecutive naturals, for example, 577072899 + ... + 577074069.

Almost surely, 2^675753049764 is an apocalyptic number.

675753049764 is the 822042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675753049764

675753049764 is an abundant number, since it is smaller than the sum of its proper divisors (1245807681165).

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

675753049764 is an equidigital number, since it uses as much as digits as its factorization.

675753049764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 675753049764 in words is "six hundred seventy-five billion, seven hundred fifty-three million, forty-nine thousand, seven hundred sixty-four".