9013680000 has 800 divisors, whose sum is σ = 36435805560. Its totient is φ = 2198016000.

The previous prime is 9013679977. The next prime is 9013680017. The reversal of 9013680000 is 863109.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 84239947 + ... + 84240053.

Almost surely, 2^9013680000 is an apocalyptic number.

9013680000 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 9013680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217902780).

9013680000 is an abundant number, since it is smaller than the sum of its proper divisors (27422125560).

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

9013680000 is a wasteful number, since it uses less digits than its factorization.

9013680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9013680000 is about 94940.4023585323. The cubic root of 9013680000 is about 2081.1371986587.

The spelling of 9013680000 in words is "nine billion, thirteen million, six hundred eighty thousand".