7994320128 has 216 divisors, whose sum is σ = 24186472128. Its totient is φ = 2534670336.

The previous prime is 7994320121. The next prime is 7994320153. The reversal of 7994320128 is 8210234997.

7994320128 is a `hidden beast` number, since 7 + 99 + 432 + 0 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7994320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13618651 + ... + 13619237.

It is an arithmetic number, because the mean of its divisors is an integer number (111974408).

Almost surely, 2^7994320128 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 7994320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12093236064).

7994320128 is an abundant number, since it is smaller than the sum of its proper divisors (16192152000).

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

7994320128 is a wasteful number, since it uses less digits than its factorization.

7994320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7994320128 is about 89410.9620124960. The cubic root of 7994320128 is about 1999.5265652720.

The spelling of 7994320128 in words is "seven billion, nine hundred ninety-four million, three hundred twenty thousand, one hundred twenty-eight".