7566138349 has 48 divisors (see below), whose sum is σ = 10021552128. Its totient is φ = 5583204000.

The previous prime is 7566138341. The next prime is 7566138353. The reversal of 7566138349 is 9438316657.

It is a happy number.

It is not a de Polignac number, because 7566138349 - 2³ = 7566138341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7566138296 and 7566138305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7566138341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1231014 + ... + 1237144.

It is an arithmetic number, because the mean of its divisors is an integer number (208782336).

Almost surely, 2^7566138349 is an apocalyptic number.

It is an amenable number.

7566138349 is a deficient number, since it is larger than the sum of its proper divisors (2455413779).

7566138349 is a wasteful number, since it uses less digits than its factorization.

7566138349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6238 (or 6227 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 7566138349 is about 86983.5521751095. The cubic root of 7566138349 is about 1963.1708314753.

The spelling of 7566138349 in words is "seven billion, five hundred sixty-six million, one hundred thirty-eight thousand, three hundred forty-nine".