9534384720 has 640 divisors, whose sum is σ = 40604544000. Its totient is φ = 2048385024.

The previous prime is 9534384689. The next prime is 9534384721. The reversal of 9534384720 is 274834359.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9534384721) 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 127 ways as a sum of consecutive naturals, for example, 12594582 + ... + 12595338.

It is an arithmetic number, because the mean of its divisors is an integer number (63444600).

Almost surely, 2^9534384720 is an apocalyptic number.

9534384720 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 9534384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302272000).

9534384720 is an abundant number, since it is smaller than the sum of its proper divisors (31070159280).

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

9534384720 is a wasteful number, since it uses less digits than its factorization.

9534384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 9534384720 is about 97644.1740197540. The cubic root of 9534384720 is about 2120.4639366761.

The spelling of 9534384720 in words is "nine billion, five hundred thirty-four million, three hundred eighty-four thousand, seven hundred twenty".