7313085696 has 288 divisors, whose sum is σ = 23019429888. Its totient is φ = 2017935360.

The previous prime is 7313085691. The next prime is 7313085719. The reversal of 7313085696 is 6965803137.

It is a happy number.

It is a super-3 number, since 3×7313085696³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7313085691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26025076 + ... + 26025356.

It is an arithmetic number, because the mean of its divisors is an integer number (79928576).

Almost surely, 2^7313085696 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 7313085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509714944).

7313085696 is an abundant number, since it is smaller than the sum of its proper divisors (15706344192).

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

7313085696 is a wasteful number, since it uses less digits than its factorization.

7313085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 7313085696 is about 85516.5814096892. The cubic root of 7313085696 is about 1941.0358389351.

The spelling of 7313085696 in words is "seven billion, three hundred thirteen million, eighty-five thousand, six hundred ninety-six".