7938208512 has 648 divisors, whose sum is σ = 27717253200. Its totient is φ = 2173796352.

The previous prime is 7938208469. The next prime is 7938208517. The reversal of 7938208512 is 2158028397.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7938208517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 214546158 + ... + 214546194.

Almost surely, 2^7938208512 is an apocalyptic number.

7938208512 is a gapful number since it is divisible by the number (72) 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 7938208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858626600).

7938208512 is an abundant number, since it is smaller than the sum of its proper divisors (19779044688).

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

7938208512 is a wasteful number, since it uses less digits than its factorization.

7938208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 7938208512 is about 89096.6245825284. The cubic root of 7938208512 is about 1994.8373945522.

The spelling of 7938208512 in words is "seven billion, nine hundred thirty-eight million, two hundred eight thousand, five hundred twelve".