7135096320 has 480 divisors, whose sum is σ = 27576806400. Its totient is φ = 1690091520.

The previous prime is 7135096313. The next prime is 7135096321. The reversal of 7135096320 is 236905317.

7135096320 is a `hidden beast` number, since 7 + 13 + 5 + 0 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135096321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11911381 + ... + 11911979.

It is an arithmetic number, because the mean of its divisors is an integer number (57451680).

Almost surely, 2^7135096320 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 7135096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

7135096320 is an abundant number, since it is smaller than the sum of its proper divisors (20441710080).

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

7135096320 is a wasteful number, since it uses less digits than its factorization.

7135096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 7135096320 is about 84469.4993473976. The cubic root of 7135096320 is about 1925.1590418999.

The spelling of 7135096320 in words is "seven billion, one hundred thirty-five million, ninety-six thousand, three hundred twenty".