9661822080 has 256 divisors, whose sum is σ = 31961088000. Its totient is φ = 2480025600.

The previous prime is 9661822073. The next prime is 9661822087. The reversal of 9661822080 is 802281669.

9661822080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9661822073) and next prime (9661822087).

It is not an unprimeable number, because it can be changed into a prime (9661822087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16129621 + ... + 16130219.

It is an arithmetic number, because the mean of its divisors is an integer number (124848000).

Almost surely, 2^9661822080 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 9661822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980544000).

9661822080 is an abundant number, since it is smaller than the sum of its proper divisors (22299265920).

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

9661822080 is a wasteful number, since it uses less digits than its factorization.

9661822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 9661822080 is about 98294.5679068788. The cubic root of 9661822080 is about 2129.8695857907.

The spelling of 9661822080 in words is "nine billion, six hundred sixty-one million, eight hundred twenty-two thousand, eighty".