79066128969 has 45 divisors (see below), whose sum is σ = 119468552247. Its totient is φ = 52111824336.

The previous prime is 79066128949. The next prime is 79066128991. The reversal of 79066128969 is 96982166097.

It is a happy number.

The square root of 79066128969 is 281187.

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

79066128969 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 612 + 8 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23175495225 + 55890633744 = 152235^2 + 236412^2 .

It is a de Polignac number, because none of the positive numbers 2^k-79066128969 is a prime.

It is a super-2 number, since 2×79066128969² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (79066128949) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 397317132 + ... + 397317330.

Almost surely, 2^79066128969 is an apocalyptic number.

79066128969 is the 281187-th square number.

79066128969 is the 140594-th centered octagonal number.

It is an amenable number.

79066128969 is a deficient number, since it is larger than the sum of its proper divisors (40402423278).

79066128969 is an frugal number, since it uses more digits than its factorization.

79066128969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 79066128969 in words is "seventy-nine billion, sixty-six million, one hundred twenty-eight thousand, nine hundred sixty-nine".