9899366400 has 1440 divisors, whose sum is σ = 47186979840. Its totient is φ = 1990656000.

The previous prime is 9899366387. The next prime is 9899366461. The reversal of 9899366400 is 46639989.

It is a happy number.

9899366400 is a `hidden beast` number, since 98 + 9 + 93 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319334385 + ... + 319334415.

It is an arithmetic number, because the mean of its divisors is an integer number (32768736).

Almost surely, 2^9899366400 is an apocalyptic number.

9899366400 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 9899366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593489920).

9899366400 is an abundant number, since it is smaller than the sum of its proper divisors (37287613440).

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

9899366400 is a wasteful number, since it uses less digits than its factorization.

9899366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9899366400 is about 99495.5596999183. The cubic root of 9899366400 is about 2147.1833604861.

The spelling of 9899366400 in words is "nine billion, eight hundred ninety-nine million, three hundred sixty-six thousand, four hundred".