9750537216 has 352 divisors, whose sum is σ = 33454202880. Its totient is φ = 2747768832.

The previous prime is 9750537163. The next prime is 9750537217. The reversal of 9750537216 is 6127350579.

9750537216 is a `hidden beast` number, since 97 + 5 + 0 + 537 + 21 + 6 = 666.

It is a super-3 number, since 3×9750537216³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9750537217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16063185 + ... + 16063791.

Almost surely, 2^9750537216 is an apocalyptic number.

9750537216 is a gapful number since it is divisible by the number (96) 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 9750537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727101440).

9750537216 is an abundant number, since it is smaller than the sum of its proper divisors (23703665664).

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

9750537216 is a wasteful number, since it uses less digits than its factorization.

9750537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 9750537216 is about 98744.8085521462. The cubic root of 9750537216 is about 2136.3685767199.

The spelling of 9750537216 in words is "nine billion, seven hundred fifty million, five hundred thirty-seven thousand, two hundred sixteen".