6648755076324 has 135 divisors (see below), whose sum is σ = 17963815619673. Its totient is φ = 2144295568800.

The previous prime is 6648755076289. The next prime is 6648755076349. The reversal of 6648755076324 is 4236705578466.

It is a happy number.

The square root of 6648755076324 is 2578518.

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

6648755076324 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 7 + 550 + 76 + 3 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2477847477924 + 4170907598400 = 1574118^2 + 2042280^2 .

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 44 ways as a sum of consecutive naturals, for example, 1438810734 + ... + 1438815354.

Almost surely, 2^{6648755076324} is an apocalyptic number.

6648755076324 is the 2578518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648755076324

6648755076324 is an abundant number, since it is smaller than the sum of its proper divisors (11315060543349).

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

6648755076324 is an frugal number, since it uses more digits than its factorization.

6648755076324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 6648755076324 in words is "six trillion, six hundred forty-eight billion, seven hundred fifty-five million, seventy-six thousand, three hundred twenty-four".