9309006720 has 576 divisors, whose sum is σ = 35554250160. Its totient is φ = 2242805760.

The previous prime is 9309006713. The next prime is 9309006743. The reversal of 9309006720 is 276009039.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9309006720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71061055 + ... + 71061185.

Almost surely, 2^9309006720 is an apocalyptic number.

9309006720 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 9309006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777125080).

9309006720 is an abundant number, since it is smaller than the sum of its proper divisors (26245243440).

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

9309006720 is a wasteful number, since it uses less digits than its factorization.

9309006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9309006720 is about 96483.1939769823. The cubic root of 9309006720 is about 2103.6223738803.

The spelling of 9309006720 in words is "nine billion, three hundred nine million, six thousand, seven hundred twenty".