9906468000 has 768 divisors, whose sum is σ = 39943507968. Its totient is φ = 2112000000.

The previous prime is 9906467957. The next prime is 9906468053. The reversal of 9906468000 is 8646099.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39467875 + ... + 39468125.

It is an arithmetic number, because the mean of its divisors is an integer number (52009776).

Almost surely, 2^9906468000 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 9906468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971753984).

9906468000 is an abundant number, since it is smaller than the sum of its proper divisors (30037039968).

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

9906468000 is a wasteful number, since it uses less digits than its factorization.

9906468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9906468000 is about 99531.2413265302. The cubic root of 9906468000 is about 2147.6966860157.

The spelling of 9906468000 in words is "nine billion, nine hundred six million, four hundred sixty-eight thousand".