7130083968 has 320 divisors, whose sum is σ = 25681233600. Its totient is φ = 1917001728.

The previous prime is 7130083943. The next prime is 7130083981. The reversal of 7130083968 is 8693800317.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1230903 + ... + 1236681.

It is an arithmetic number, because the mean of its divisors is an integer number (80253855).

Almost surely, 2^7130083968 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 7130083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12840616800).

7130083968 is an abundant number, since it is smaller than the sum of its proper divisors (18551149632).

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

7130083968 is a wasteful number, since it uses less digits than its factorization.

7130083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5808 counting only the distinct ones).

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

The square root of 7130083968 is about 84439.8245379513. The cubic root of 7130083968 is about 1924.7081330026.

The spelling of 7130083968 in words is "seven billion, one hundred thirty million, eighty-three thousand, nine hundred sixty-eight".