9007768049 has 12 divisors (see below), whose sum is σ = 10480025700. Its totient is φ = 7719763968.

The previous prime is 9007768037. The next prime is 9007768057. The reversal of 9007768049 is 9408677009.

It is a happy number.

9007768049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2860110400 + 6147657649 = 53480^2 + 78407^2 .

It is not a de Polignac number, because 9007768049 - 2¹⁶ = 9007702513 is a prime.

It is a super-2 number, since 2×9007768049² (a number of 21 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 = 9007767988 and 9007768006.

It is not an unprimeable number, because it can be changed into a prime (9007968049) 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 11 ways as a sum of consecutive naturals, for example, 499217 + ... + 516945.

It is an arithmetic number, because the mean of its divisors is an integer number (873335475).

Almost surely, 2^9007768049 is an apocalyptic number.

It is an amenable number.

9007768049 is a deficient number, since it is larger than the sum of its proper divisors (1472257651).

9007768049 is a wasteful number, since it uses less digits than its factorization.

9007768049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28112 (or 28105 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 9007768049 is about 94909.2621876285. The cubic root of 9007768049 is about 2080.6821025515.

The spelling of 9007768049 in words is "nine billion, seven million, seven hundred sixty-eight thousand, forty-nine".