9516756480 has 960 divisors, whose sum is σ = 40976305920. Its totient is φ = 1873428480.

The previous prime is 9516756439. The next prime is 9516756481. The reversal of 9516756480 is 846576159.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9516756481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500881911 + ... + 500881929.

It is an arithmetic number, because the mean of its divisors is an integer number (42683652).

Almost surely, 2^9516756480 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 9516756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20488152960).

9516756480 is an abundant number, since it is smaller than the sum of its proper divisors (31459549440).

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

9516756480 is a wasteful number, since it uses less digits than its factorization.

9516756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 9516756480 is about 97553.8645057181. The cubic root of 9516756480 is about 2119.1562799000.

The spelling of 9516756480 in words is "nine billion, five hundred sixteen million, seven hundred fifty-six thousand, four hundred eighty".