6395972508676 has 27 divisors (see below), whose sum is σ = 11231187811039. Its totient is φ = 3187098797408.

The previous prime is 6395972508671. The next prime is 6395972508689. The reversal of 6395972508676 is 6768052795936.

The square root of 6395972508676 is 2529026.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1892137802500 + 4503834706176 = 1375550^2 + 2122224^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6395972508599 and 6395972508608.

It is not an unprimeable number, because it can be changed into a prime (6395972508671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1603400490 + ... + 1603404478.

Almost surely, 2^{6395972508676} is an apocalyptic number.

6395972508676 is the 2529026-th square number.

It is an amenable number.

6395972508676 is a deficient number, since it is larger than the sum of its proper divisors (4835215302363).

6395972508676 is an frugal number, since it uses more digits than its factorization.

6395972508676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 73.

The spelling of 6395972508676 in words is "six trillion, three hundred ninety-five billion, nine hundred seventy-two million, five hundred eight thousand, six hundred seventy-six".