7113607296 has 256 divisors, whose sum is σ = 21344601600. Its totient is φ = 2085765120.

The previous prime is 7113607289. The next prime is 7113607327. The reversal of 7113607296 is 6927063117.

It is a super-3 number, since 3×7113607296³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10294311 + ... + 10295001.

It is an arithmetic number, because the mean of its divisors is an integer number (83377350).

Almost surely, 2^7113607296 is an apocalyptic number.

7113607296 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7113607296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672300800).

7113607296 is an abundant number, since it is smaller than the sum of its proper divisors (14230994304).

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

7113607296 is a wasteful number, since it uses less digits than its factorization.

7113607296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 7113607296 is about 84342.2035282456. The cubic root of 7113607296 is about 1923.2244083528.

The spelling of 7113607296 in words is "seven billion, one hundred thirteen million, six hundred seven thousand, two hundred ninety-six".