7638137507 has 32 divisors (see below), whose sum is σ = 10288180224. Its totient is φ = 5476406400.

The previous prime is 7638137497. The next prime is 7638137531. The reversal of 7638137507 is 7057318367.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 7638137507 - 2⁶ = 7638137443 is a prime.

It is a super-2 number, since 2×7638137507² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7638137557) 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 31 ways as a sum of consecutive naturals, for example, 305282 + ... + 329352.

It is an arithmetic number, because the mean of its divisors is an integer number (321505632).

Almost surely, 2^7638137507 is an apocalyptic number.

7638137507 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7638137507 is a deficient number, since it is larger than the sum of its proper divisors (2650042717).

7638137507 is a wasteful number, since it uses less digits than its factorization.

7638137507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24419.

The product of its (nonzero) digits is 740880, while the sum is 47.

The square root of 7638137507 is about 87396.4387546770. The cubic root of 7638137507 is about 1969.3783420744.

The spelling of 7638137507 in words is "seven billion, six hundred thirty-eight million, one hundred thirty-seven thousand, five hundred seven".