7135008768 has 264 divisors, whose sum is σ = 21762386100. Its totient is φ = 2338025472.

The previous prime is 7135008767. The next prime is 7135008773. The reversal of 7135008768 is 8678005317.

7135008768 is a `hidden beast` number, since 7 + 1 + 3 + 500 + 87 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135008767) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 120932323 + ... + 120932381.

Almost surely, 2^7135008768 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 7135008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10881193050).

7135008768 is an abundant number, since it is smaller than the sum of its proper divisors (14627377332).

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

7135008768 is an frugal number, since it uses more digits than its factorization.

7135008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7135008768 is about 84468.9810995729. The cubic root of 7135008768 is about 1925.1511675744.

The spelling of 7135008768 in words is "seven billion, one hundred thirty-five million, eight thousand, seven hundred sixty-eight".