9306722880 has 1344 divisors, whose sum is σ = 43781472000. Its totient is φ = 1839366144.

The previous prime is 9306722849. The next prime is 9306722897. The reversal of 9306722880 is 882276039.

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 (45).

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 191 ways as a sum of consecutive naturals, for example, 104569876 + ... + 104569964.

It is an arithmetic number, because the mean of its divisors is an integer number (32575500).

Almost surely, 2^9306722880 is an apocalyptic number.

9306722880 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 9306722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21890736000).

9306722880 is an abundant number, since it is smaller than the sum of its proper divisors (34474749120).

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

9306722880 is a wasteful number, since it uses less digits than its factorization.

9306722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9306722880 is about 96471.3578218945. The cubic root of 9306722880 is about 2103.4503279605.

The spelling of 9306722880 in words is "nine billion, three hundred six million, seven hundred twenty-two thousand, eight hundred eighty".