7971613608 has 256 divisors, whose sum is σ = 24634368000. Its totient is φ = 2144271360.

The previous prime is 7971613603. The next prime is 7971613669. The reversal of 7971613608 is 8063161797.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7971613603) 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 63 ways as a sum of consecutive naturals, for example, 13442560 + ... + 13443152.

It is an arithmetic number, because the mean of its divisors is an integer number (96228000).

Almost surely, 2^7971613608 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 7971613608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317184000).

7971613608 is an abundant number, since it is smaller than the sum of its proper divisors (16662754392).

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

7971613608 is a wasteful number, since it uses less digits than its factorization.

7971613608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 7971613608 is about 89283.8933290882. The cubic root of 7971613608 is about 1997.6316639325.

The spelling of 7971613608 in words is "seven billion, nine hundred seventy-one million, six hundred thirteen thousand, six hundred eight".