8006972769 has 8 divisors (see below), whose sum is σ = 11862181920. Its totient is φ = 5337981828.

The previous prime is 8006972759. The next prime is 8006972791. The reversal of 8006972769 is 9672796008.

It is not a de Polignac number, because 8006972769 - 2⁵ = 8006972737 is a prime.

It is a super-2 number, since 2×8006972769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8006972719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148277247 + ... + 148277300.

It is an arithmetic number, because the mean of its divisors is an integer number (1482772740).

Almost surely, 2^8006972769 is an apocalyptic number.

It is an amenable number.

8006972769 is a deficient number, since it is larger than the sum of its proper divisors (3855209151).

8006972769 is a wasteful number, since it uses less digits than its factorization.

8006972769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296554556 (or 296554550 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 8006972769 is about 89481.6895739011. The cubic root of 8006972769 is about 2000.5808953473.

The spelling of 8006972769 in words is "eight billion, six million, nine hundred seventy-two thousand, seven hundred sixty-nine".