9906820800 has 84 divisors (see below), whose sum is σ = 32502643656. Its totient is φ = 2641817600.

The previous prime is 9906820793. The next prime is 9906820811. The reversal of 9906820800 is 80286099.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027161 + ... + 1036760.

It is an arithmetic number, because the mean of its divisors is an integer number (386936234).

Almost surely, 2^9906820800 is an apocalyptic number.

It is an amenable number.

9906820800 is an abundant number, since it is smaller than the sum of its proper divisors (22595822856).

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

9906820800 is a wasteful number, since it uses less digits than its factorization.

9906820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063946 (or 2063931 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 9906820800 is about 99533.0136185979. The cubic root of 9906820800 is about 2147.7221810894.

The spelling of 9906820800 in words is "nine billion, nine hundred six million, eight hundred twenty thousand, eight hundred".