9946620160 has 72 divisors (see below), whose sum is σ = 23985624600. Its totient is φ = 3951869952.

The previous prime is 9946620133. The next prime is 9946620163. The reversal of 9946620160 is 610266499.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1800474624 + 8146145536 = 42432^2 + 90256^2 .

It is not an unprimeable number, because it can be changed into a prime (9946620163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164644 + ... + 216796.

It is an arithmetic number, because the mean of its divisors is an integer number (333133675).

Almost surely, 2^9946620160 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 9946620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992812300).

9946620160 is an abundant number, since it is smaller than the sum of its proper divisors (14039004440).

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

9946620160 is a wasteful number, since it uses less digits than its factorization.

9946620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52323 (or 52309 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 9946620160 is about 99732.7436702711. The cubic root of 9946620160 is about 2150.5944028059.

The spelling of 9946620160 in words is "nine billion, nine hundred forty-six million, six hundred twenty thousand, one hundred sixty".