9013351680 has 576 divisors, whose sum is σ = 33907507200. Its totient is φ = 2263818240.

The previous prime is 9013351673. The next prime is 9013351687. The reversal of 9013351680 is 861533109.

It is a happy number.

9013351680 is a `hidden beast` number, since 9 + 0 + 133 + 516 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9013351673) and next prime (9013351687).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9013351687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50353831 + ... + 50354009.

It is an arithmetic number, because the mean of its divisors is an integer number (58867200).

Almost surely, 2^9013351680 is an apocalyptic number.

9013351680 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 9013351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16953753600).

9013351680 is an abundant number, since it is smaller than the sum of its proper divisors (24894155520).

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

9013351680 is a wasteful number, since it uses less digits than its factorization.

9013351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9013351680 is about 94938.6732580564. The cubic root of 9013351680 is about 2081.1119301313. Note that the first 3 decimals are identical.

Adding to 9013351680 its reverse (861533109), we get a palindrome (9874884789).

The spelling of 9013351680 in words is "nine billion, thirteen million, three hundred fifty-one thousand, six hundred eighty".