7582792093969 has 9 divisors (see below), whose sum is σ = 7592251776123. Its totient is φ = 7573344193872.

The previous prime is 7582792093957. The next prime is 7582792093991. The reversal of 7582792093969 is 9693902972857.

The square root of 7582792093969 is 2753687.

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

It can be written as a sum of positive squares in only one way, i.e., 559825686225 + 7022966407744 = 748215^2 + 2650088^2 .

It is not a de Polignac number, because 7582792093969 - 2²³ = 7582783705361 is a prime.

It is a super-2 number, since 2×7582792093969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7582792093895 and 7582792093904.

It is not an unprimeable number, because it can be changed into a prime (7582792093909) 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, 3521964597 + ... + 3521966749.

Almost surely, 2^{7582792093969} is an apocalyptic number.

7582792093969 is the 2753687-th square number.

7582792093969 is the 1376844-th centered octagonal number.

It is an amenable number.

7582792093969 is a deficient number, since it is larger than the sum of its proper divisors (9459682154).

7582792093969 is an frugal number, since it uses more digits than its factorization.

7582792093969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6864 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 76.

The spelling of 7582792093969 in words is "seven trillion, five hundred eighty-two billion, seven hundred ninety-two million, ninety-three thousand, nine hundred sixty-nine".