7908316416 has 864 divisors, whose sum is σ = 31998640128. Its totient is φ = 1881169920.

The previous prime is 7908316379. The next prime is 7908316421. The reversal of 7908316416 is 6146138097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 62270145 + ... + 62270271.

Almost surely, 2^7908316416 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 7908316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999320064).

7908316416 is an abundant number, since it is smaller than the sum of its proper divisors (24090323712).

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

7908316416 is a wasteful number, since it uses less digits than its factorization.

7908316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

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

The square root of 7908316416 is about 88928.7153623620. The cubic root of 7908316416 is about 1992.3303269879.

The spelling of 7908316416 in words is "seven billion, nine hundred eight million, three hundred sixteen thousand, four hundred sixteen".