9750468096 has 320 divisors, whose sum is σ = 30248064000. Its totient is φ = 3098124288.

The previous prime is 9750468083. The next prime is 9750468097. The reversal of 9750468096 is 6908640579.

9750468096 is a `hidden beast` number, since 97 + 5 + 0 + 468 + 0 + 96 = 666.

It is a super-2 number, since 2×9750468096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750468097) 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, 27938130 + ... + 27938478.

It is an arithmetic number, because the mean of its divisors is an integer number (94525200).

Almost surely, 2^9750468096 is an apocalyptic number.

9750468096 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 9750468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124032000).

9750468096 is an abundant number, since it is smaller than the sum of its proper divisors (20497595904).

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

9750468096 is a wasteful number, since it uses less digits than its factorization.

9750468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9750468096 is about 98744.4585584427. The cubic root of 9750468096 is about 2136.3635285828.

It can be divided in two parts, 97504 and 68096, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 9750468096 in words is "nine billion, seven hundred fifty million, four hundred sixty-eight thousand, ninety-six".