9846986400 has 288 divisors, whose sum is σ = 36485164800. Its totient is φ = 2561587200.

The previous prime is 9846986399. The next prime is 9846986407. The reversal of 9846986400 is 46896489.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (9846986407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880041 + ... + 891159.

It is an arithmetic number, because the mean of its divisors is an integer number (126684600).

Almost surely, 2^9846986400 is an apocalyptic number.

9846986400 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 9846986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242582400).

9846986400 is an abundant number, since it is smaller than the sum of its proper divisors (26638178400).

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

9846986400 is a wasteful number, since it uses less digits than its factorization.

9846986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 9846986400 is about 99231.9827474993. The cubic root of 9846986400 is about 2143.3895682713.

The spelling of 9846986400 in words is "nine billion, eight hundred forty-six million, nine hundred eighty-six thousand, four hundred".