9006726960 has 720 divisors, whose sum is σ = 39476306688. Its totient is φ = 1868106240.

The previous prime is 9006726923. The next prime is 9006726977. The reversal of 9006726960 is 696276009.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9006726960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16465407 + ... + 16465953.

Almost surely, 2^9006726960 is an apocalyptic number.

9006726960 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 9006726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19738153344).

9006726960 is an abundant number, since it is smaller than the sum of its proper divisors (30469579728).

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

9006726960 is a wasteful number, since it uses less digits than its factorization.

9006726960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9006726960 is about 94903.7773747705. Note that the first 3 decimals coincide. The cubic root of 9006726960 is about 2080.6019399371.

The spelling of 9006726960 in words is "nine billion, six million, seven hundred twenty-six thousand, nine hundred sixty".