7638257507 has 16 divisors (see below), whose sum is σ = 8093675520. Its totient is φ = 7188292800.

The previous prime is 7638257503. The next prime is 7638257521. The reversal of 7638257507 is 7057528367.

It is a happy number.

7638257507 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7638257507 - 2² = 7638257503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7638257503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4437407 + ... + 4439127.

It is an arithmetic number, because the mean of its divisors is an integer number (505854720).

Almost surely, 2^7638257507 is an apocalyptic number.

7638257507 is a deficient number, since it is larger than the sum of its proper divisors (455418013).

7638257507 is a wasteful number, since it uses less digits than its factorization.

7638257507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154.

The product of its (nonzero) digits is 2469600, while the sum is 50.

The square root of 7638257507 is about 87397.1252788099. The cubic root of 7638257507 is about 1969.3886554160.

The spelling of 7638257507 in words is "seven billion, six hundred thirty-eight million, two hundred fifty-seven thousand, five hundred seven".