7065787968 has 168 divisors, whose sum is σ = 20658646008. Its totient is φ = 2308497408.

The previous prime is 7065787919. The next prime is 7065787999. The reversal of 7065787968 is 8697875607.

It can be written as a sum of positive squares in 4 ways, for example, as 1487490624 + 5578297344 = 38568^2 + 74688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8283030 + ... + 8283882.

It is an arithmetic number, because the mean of its divisors is an integer number (122968131).

Almost surely, 2^7065787968 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 7065787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329323004).

7065787968 is an abundant number, since it is smaller than the sum of its proper divisors (13592858040).

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

7065787968 is a wasteful number, since it uses less digits than its factorization.

7065787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 7065787968 is about 84058.2415233628. The cubic root of 7065787968 is about 1918.9052613412.

The spelling of 7065787968 in words is "seven billion, sixty-five million, seven hundred eighty-seven thousand, nine hundred sixty-eight".