9516942720 has 320 divisors, whose sum is σ = 35989272000. Its totient is φ = 2388344832.

The previous prime is 9516942697. The next prime is 9516942733. The reversal of 9516942720 is 272496159.

9516942720 is a `hidden beast` number, since 9 + 516 + 94 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 875881 + ... + 886679.

It is an arithmetic number, because the mean of its divisors is an integer number (112466475).

Almost surely, 2^9516942720 is an apocalyptic number.

9516942720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9516942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17994636000).

9516942720 is an abundant number, since it is smaller than the sum of its proper divisors (26472329280).

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

9516942720 is a wasteful number, since it uses less digits than its factorization.

9516942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10847 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9516942720 is about 97554.8190506240. The cubic root of 9516942720 is about 2119.1701035556.

The spelling of 9516942720 in words is "nine billion, five hundred sixteen million, nine hundred forty-two thousand, seven hundred twenty".