7993138608 has 480 divisors, whose sum is σ = 29745346176. Its totient is φ = 1943764992.

The previous prime is 7993138589. The next prime is 7993138619. The reversal of 7993138608 is 8068313997.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11806366 + ... + 11807042.

Almost surely, 2^7993138608 is an apocalyptic number.

7993138608 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7993138608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872673088).

7993138608 is an abundant number, since it is smaller than the sum of its proper divisors (21752207568).

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

7993138608 is a wasteful number, since it uses less digits than its factorization.

7993138608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7993138608 is about 89404.3545248217. The cubic root of 7993138608 is about 1999.4280537877.

The spelling of 7993138608 in words is "seven billion, nine hundred ninety-three million, one hundred thirty-eight thousand, six hundred eight".