9331661664 has 576 divisors, whose sum is σ = 31621943808. Its totient is φ = 2587852800.

The previous prime is 9331661629. The next prime is 9331661699. The reversal of 9331661664 is 4661661339.

It is an interprime number because it is at equal distance from previous prime (9331661629) and next prime (9331661699).

It is a super-2 number, since 2×9331661664² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176069062 + ... + 176069114.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 2^9331661664 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 9331661664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810971904).

9331661664 is an abundant number, since it is smaller than the sum of its proper divisors (22290282144).

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

9331661664 is a wasteful number, since it uses less digits than its factorization.

9331661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 9331661664 is about 96600.5262097469. The cubic root of 9331661664 is about 2105.3274909439.

The spelling of 9331661664 in words is "nine billion, three hundred thirty-one million, six hundred sixty-one thousand, six hundred sixty-four".