7953736736169 has 81 divisors (see below), whose sum is σ = 13973161364253. Its totient is φ = 4346639511984.

The previous prime is 7953736736159. The next prime is 7953736736249. The reversal of 7953736736169 is 9616376373597.

The square root of 7953736736169 is 2820237.

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

7953736736169 is a `hidden beast` number, since 7 + 9 + 5 + 373 + 67 + 36 + 169 = 666.

It is not a de Polignac number, because 7953736736169 - 2¹⁷ = 7953736605097 is a prime.

It is a super-2 number, since 2×7953736736169² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7953736736097 and 7953736736106.

It is not an unprimeable number, because it can be changed into a prime (7953736736159) 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, 1362171552 + ... + 1362177390.

Almost surely, 2^{7953736736169} is an apocalyptic number.

7953736736169 is the 2820237-th square number.

7953736736169 is the 1410119-th centered octagonal number.

It is an amenable number.

7953736736169 is a deficient number, since it is larger than the sum of its proper divisors (6019424628084).

7953736736169 is an frugal number, since it uses more digits than its factorization.

7953736736169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 5872 counting only the distinct ones).

The product of its digits is 810152280, while the sum is 72.

The spelling of 7953736736169 in words is "seven trillion, nine hundred fifty-three billion, seven hundred thirty-six million, seven hundred thirty-six thousand, one hundred sixty-nine".