9809416800 has 432 divisors, whose sum is σ = 36267678720. Its totient is φ = 2491776000.

The previous prime is 9809416781. The next prime is 9809416847. The reversal of 9809416800 is 86149089.

It is a super-2 number, since 2×9809416800² (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 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, 15846891 + ... + 15847509.

It is an arithmetic number, because the mean of its divisors is an integer number (83952960).

Almost surely, 2^9809416800 is an apocalyptic number.

9809416800 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 9809416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133839360).

9809416800 is an abundant number, since it is smaller than the sum of its proper divisors (26458261920).

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

9809416800 is a wasteful number, since it uses less digits than its factorization.

9809416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9809416800 is about 99042.4999684479. The cubic root of 9809416800 is about 2140.6601742280.

The spelling of 9809416800 in words is "nine billion, eight hundred nine million, four hundred sixteen thousand, eight hundred".