7985034749 has 12 divisors (see below), whose sum is σ = 8272134612. Its totient is φ = 7705776000.

The previous prime is 7985034737. The next prime is 7985034763. The reversal of 7985034749 is 9474305897.

It can be written as a sum of positive squares in 6 ways, for example, as 688800025 + 7296234724 = 26245^2 + 85418^2 .

It is not a de Polignac number, because 7985034749 - 2¹² = 7985030653 is a prime.

It is a super-3 number, since 3×7985034749³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7985034694 and 7985034703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985034049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148049 + ... + 194649.

It is an arithmetic number, because the mean of its divisors is an integer number (689344551).

Almost surely, 2^7985034749 is an apocalyptic number.

It is an amenable number.

7985034749 is a deficient number, since it is larger than the sum of its proper divisors (287099863).

7985034749 is an equidigital number, since it uses as much as digits as its factorization.

7985034749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46768 (or 46715 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The square root of 7985034749 is about 89359.0216430328. The cubic root of 7985034749 is about 1998.7521173063.

The spelling of 7985034749 in words is "seven billion, nine hundred eighty-five million, thirty-four thousand, seven hundred forty-nine".