7638231120 has 480 divisors, whose sum is σ = 27434744064. Its totient is φ = 1746124800.

The previous prime is 7638231113. The next prime is 7638231127. The reversal of 7638231120 is 211328367.

It is an interprime number because it is at equal distance from previous prime (7638231113) and next prime (7638231127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107580685 + ... + 107580755.

Almost surely, 2^7638231120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7638231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717372032).

7638231120 is an abundant number, since it is smaller than the sum of its proper divisors (19796512944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7638231120 is a wasteful number, since it uses less digits than its factorization.

7638231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7638231120 is about 87396.9743183367. The cubic root of 7638231120 is about 1969.3863876074.

Adding to 7638231120 its reverse (211328367), we get a palindrome (7849559487).

The spelling of 7638231120 in words is "seven billion, six hundred thirty-eight million, two hundred thirty-one thousand, one hundred twenty".