9089340480 has 560 divisors, whose sum is σ = 35848137600. Its totient is φ = 2167603200.

The previous prime is 9089340451. The next prime is 9089340503. The reversal of 9089340480 is 840439809.

It is a happy number.

9089340480 is a `hidden beast` number, since 90 + 89 + 3 + 4 + 0 + 480 = 666.

It is a super-2 number, since 2×9089340480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20243296 + ... + 20243744.

Almost surely, 2^9089340480 is an apocalyptic number.

9089340480 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 9089340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17924068800).

9089340480 is an abundant number, since it is smaller than the sum of its proper divisors (26758797120).

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

9089340480 is a wasteful number, since it uses less digits than its factorization.

9089340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9089340480 is about 95338.0327046872. The cubic root of 9089340480 is about 2086.9439765007.

The spelling of 9089340480 in words is "nine billion, eighty-nine million, three hundred forty thousand, four hundred eighty".