9329960640 has 1344 divisors, whose sum is σ = 43197719040. Its totient is φ = 1672151040.

The previous prime is 9329960611. The next prime is 9329960677. The reversal of 9329960640 is 460699239.

It is a tau number, because it is divible by the number of its divisors (1344).

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 9329960640.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127807644 + ... + 127807716.

It is an arithmetic number, because the mean of its divisors is an integer number (32141160).

Almost surely, 2^9329960640 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 9329960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21598859520).

9329960640 is an abundant number, since it is smaller than the sum of its proper divisors (33867758400).

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

9329960640 is a wasteful number, since it uses less digits than its factorization.

9329960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 9329960640 is about 96591.7213843919. The cubic root of 9329960640 is about 2105.1995598086.

It can be divided in two parts, 9329 and 960640, that added together give a palindrome (969969).

The spelling of 9329960640 in words is "nine billion, three hundred twenty-nine million, nine hundred sixty thousand, six hundred forty".