7967753843841 has 81 divisors (see below), whose sum is σ = 13227850387297. Its totient is φ = 4617745738320.

The previous prime is 7967753843827. The next prime is 7967753843849. The reversal of 7967753843841 is 1483483577697.

The square root of 7967753843841 is 2822721.

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

7967753843841 is a `hidden beast` number, since 7 + 9 + 6 + 7 + 7 + 538 + 4 + 3 + 84 + 1 = 666.

It is not a de Polignac number, because 7967753843841 - 2¹⁹ = 7967753319553 is a prime.

It is a super-2 number, since 2×7967753843841² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7967753843841.

It is not an unprimeable number, because it can be changed into a prime (7967753843849) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2142443380 + ... + 2142447098.

Almost surely, 2^{7967753843841} is an apocalyptic number.

7967753843841 is the 2822721-st square number.

7967753843841 is the 1411361-st centered octagonal number.

It is an amenable number.

7967753843841 is a deficient number, since it is larger than the sum of its proper divisors (5260096543456).

7967753843841 is an equidigital number, since it uses as much as digits as its factorization.

7967753843841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 3756 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 7967753843841 in words is "seven trillion, nine hundred sixty-seven billion, seven hundred fifty-three million, eight hundred forty-three thousand, eight hundred forty-one".