7509133968 has 240 divisors, whose sum is σ = 23463498240. Its totient is φ = 2061158400.

The previous prime is 7509133949. The next prime is 7509133981. The reversal of 7509133968 is 8693319057.

It is a self number, because there is not a number n which added to its sum of digits gives 7509133968.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13196788 + ... + 13197356.

It is an arithmetic number, because the mean of its divisors is an integer number (97764576).

Almost surely, 2^7509133968 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 7509133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731749120).

7509133968 is an abundant number, since it is smaller than the sum of its proper divisors (15954364272).

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

7509133968 is a wasteful number, since it uses less digits than its factorization.

7509133968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 7509133968 is about 86655.2593210591. The cubic root of 7509133968 is about 1958.2281265700.

The spelling of 7509133968 in words is "seven billion, five hundred nine million, one hundred thirty-three thousand, nine hundred sixty-eight".