9894366720 has 480 divisors, whose sum is σ = 40445982720. Its totient is φ = 2187509760.

The previous prime is 9894366709. The next prime is 9894366731. The reversal of 9894366720 is 276634989.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9894366709) and next prime (9894366731).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4998691 + ... + 5000669.

It is an arithmetic number, because the mean of its divisors is an integer number (84262464).

Almost surely, 2^9894366720 is an apocalyptic number.

9894366720 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 9894366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

9894366720 is an abundant number, since it is smaller than the sum of its proper divisors (30551616000).

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

9894366720 is a wasteful number, since it uses less digits than its factorization.

9894366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 9894366720 is about 99470.4313854122. The cubic root of 9894366720 is about 2146.8218209338.

The spelling of 9894366720 in words is "nine billion, eight hundred ninety-four million, three hundred sixty-six thousand, seven hundred twenty".