8006075037 has 24 divisors (see below), whose sum is σ = 12483244800. Its totient is φ = 4929273888.

The previous prime is 8006075009. The next prime is 8006075039. The reversal of 8006075037 is 7305706008.

It is not a de Polignac number, because 8006075037 - 2²⁰ = 8005026461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8006074992 and 8006075010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006075039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660837 + ... + 672842.

It is an arithmetic number, because the mean of its divisors is an integer number (520135200).

Almost surely, 2^8006075037 is an apocalyptic number.

8006075037 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

8006075037 is a deficient number, since it is larger than the sum of its proper divisors (4477169763).

8006075037 is a wasteful number, since it uses less digits than its factorization.

8006075037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333737 (or 1333734 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 8006075037 is about 89476.6731444570. The cubic root of 8006075037 is about 2000.5061249913.

The spelling of 8006075037 in words is "eight billion, six million, seventy-five thousand, thirty-seven".