7638115968 has 192 divisors, whose sum is σ = 26050489920. Its totient is φ = 2182256640.

The previous prime is 7638115967. The next prime is 7638115993. The reversal of 7638115968 is 8695118367.

7638115968 is a `hidden beast` number, since 7 + 6 + 38 + 11 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (7638115967) 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, 200188 + ... + 235268.

It is an arithmetic number, because the mean of its divisors is an integer number (135679635).

Almost surely, 2^7638115968 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 7638115968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13025244960).

7638115968 is an abundant number, since it is smaller than the sum of its proper divisors (18412373952).

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

7638115968 is an equidigital number, since it uses as much as digits as its factorization.

7638115968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35117 (or 35093 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 7638115968 is about 87396.3155287453. The cubic root of 7638115968 is about 1969.3764909041.

The spelling of 7638115968 in words is "seven billion, six hundred thirty-eight million, one hundred fifteen thousand, nine hundred sixty-eight".