9073938720 has 384 divisors, whose sum is σ = 36017436672. Its totient is φ = 1865318400.

The previous prime is 9073938667. The next prime is 9073938721. The reversal of 9073938720 is 278393709.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9073938720.

It is not an unprimeable number, because it can be changed into a prime (9073938721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3583855 + ... + 3586385.

It is an arithmetic number, because the mean of its divisors is an integer number (93795408).

Almost surely, 2^9073938720 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 9073938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008718336).

9073938720 is an abundant number, since it is smaller than the sum of its proper divisors (26943497952).

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

9073938720 is a wasteful number, since it uses less digits than its factorization.

9073938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 9073938720 is about 95257.2239780270. The cubic root of 9073938720 is about 2085.7645443036.

The spelling of 9073938720 in words is "nine billion, seventy-three million, nine hundred thirty-eight thousand, seven hundred twenty".