9012336480 has 768 divisors, whose sum is σ = 39086530560. Its totient is φ = 1892450304.

The previous prime is 9012336451. The next prime is 9012336493. The reversal of 9012336480 is 846332109.

9012336480 is a `hidden beast` number, since 9 + 0 + 1 + 2 + 3 + 3 + 648 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24161574 + ... + 24161946.

It is an arithmetic number, because the mean of its divisors is an integer number (50893920).

Almost surely, 2^9012336480 is an apocalyptic number.

9012336480 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 9012336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543265280).

9012336480 is an abundant number, since it is smaller than the sum of its proper divisors (30074194080).

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

9012336480 is a wasteful number, since it uses less digits than its factorization.

9012336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9012336480 is about 94933.3264981271. The cubic root of 9012336480 is about 2081.0337933023.

Adding to 9012336480 its reverse (846332109), we get a palindrome (9858668589).

The spelling of 9012336480 in words is "nine billion, twelve million, three hundred thirty-six thousand, four hundred eighty".