7638255936 has 168 divisors, whose sum is σ = 22995656320. Its totient is φ = 2513452032.

The previous prime is 7638255931. The next prime is 7638255953. The reversal of 7638255936 is 6395528367.

It is a happy number.

7638255936 is a `hidden beast` number, since 7 + 6 + 3 + 82 + 559 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638255931) 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 23 ways as a sum of consecutive naturals, for example, 1225500 + ... + 1231716.

Almost surely, 2^7638255936 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 7638255936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11497828160).

7638255936 is an abundant number, since it is smaller than the sum of its proper divisors (15357400384).

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

7638255936 is an equidigital number, since it uses as much as digits as its factorization.

7638255936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6301 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 7638255936 is about 87397.1162910997. The cubic root of 7638255936 is about 1969.3885203979.

The spelling of 7638255936 in words is "seven billion, six hundred thirty-eight million, two hundred fifty-five thousand, nine hundred thirty-six".