9502915968 has 576 divisors, whose sum is σ = 35719257600. Its totient is φ = 2367885312.

The previous prime is 9502915921. The next prime is 9502915991. The reversal of 9502915968 is 8695192059.

9502915968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25893321 + ... + 25893687.

It is an arithmetic number, because the mean of its divisors is an integer number (62012600).

Almost surely, 2^9502915968 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 9502915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859628800).

9502915968 is an abundant number, since it is smaller than the sum of its proper divisors (26216341632).

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

9502915968 is a wasteful number, since it uses less digits than its factorization.

9502915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The square root of 9502915968 is about 97482.9009006195. The cubic root of 9502915968 is about 2118.1284633994.

The spelling of 9502915968 in words is "nine billion, five hundred two million, nine hundred fifteen thousand, nine hundred sixty-eight".