9238416768 has 384 divisors, whose sum is σ = 31829091840. Its totient is φ = 2612736000.

The previous prime is 9238416751. The next prime is 9238416791. The reversal of 9238416768 is 8676148329.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32876788 + ... + 32877068.

It is an arithmetic number, because the mean of its divisors is an integer number (82888260).

Almost surely, 2^9238416768 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 9238416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914545920).

9238416768 is an abundant number, since it is smaller than the sum of its proper divisors (22590675072).

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

9238416768 is a wasteful number, since it uses less digits than its factorization.

9238416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9238416768 is about 96116.6830888374. The cubic root of 9238416768 is about 2098.2916391880.

The spelling of 9238416768 in words is "nine billion, two hundred thirty-eight million, four hundred sixteen thousand, seven hundred sixty-eight".