9946020000 has 720 divisors, whose sum is σ = 40385822400. Its totient is φ = 2128896000.

The previous prime is 9946019989. The next prime is 9946020011. The reversal of 9946020000 is 206499.

It is an interprime number because it is at equal distance from previous prime (9946019989) and next prime (9946020011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 9946020000.

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, 49979901 + ... + 49980099.

It is an arithmetic number, because the mean of its divisors is an integer number (56091420).

Almost surely, 2^9946020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192911200).

9946020000 is an abundant number, since it is smaller than the sum of its proper divisors (30439802400).

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

9946020000 is a wasteful number, since it uses less digits than its factorization.

9946020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9946020000 is about 99729.7347835639. The cubic root of 9946020000 is about 2150.5511476875.

Adding to 9946020000 its reverse (206499), we get a palindrome (9946226499).

The spelling of 9946020000 in words is "nine billion, nine hundred forty-six million, twenty thousand".