7309120896 has 768 divisors, whose sum is σ = 28733253120. Its totient is φ = 1725235200.

The previous prime is 7309120877. The next prime is 7309120901. The reversal of 7309120896 is 6980219037.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55794751 + ... + 55794881.

It is an arithmetic number, because the mean of its divisors is an integer number (37413090).

Almost surely, 2^7309120896 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 7309120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366626560).

7309120896 is an abundant number, since it is smaller than the sum of its proper divisors (21424132224).

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

7309120896 is a wasteful number, since it uses less digits than its factorization.

7309120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7309120896 is about 85493.3967976475. The cubic root of 7309120896 is about 1940.6849970607.

The spelling of 7309120896 in words is "seven billion, three hundred nine million, one hundred twenty thousand, eight hundred ninety-six".