7638446723076 has 567 divisors, whose sum is σ = 22602628445733. Its totient is φ = 2256566195520.

The previous prime is 7638446723057. The next prime is 7638446723179. The reversal of 7638446723076 is 6703276448367.

The square root of 7638446723076 is 2763774.

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

7638446723076 is a `hidden beast` number, since 7 + 6 + 3 + 84 + 467 + 23 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1129947740100 + 6508498982976 = 1062990^2 + 2551176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 60145249725 + ... + 60145249851.

Almost surely, 2^{7638446723076} is an apocalyptic number.

7638446723076 is the 2763774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638446723076

7638446723076 is an abundant number, since it is smaller than the sum of its proper divisors (14964181722657).

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

7638446723076 is a wasteful number, since it uses less digits than its factorization.

7638446723076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 63.

The spelling of 7638446723076 in words is "seven trillion, six hundred thirty-eight billion, four hundred forty-six million, seven hundred twenty-three thousand, seventy-six".