9008772480 has 512 divisors, whose sum is σ = 35074944000. Its totient is φ = 2175123456.

The previous prime is 9008772433. The next prime is 9008772511. The reversal of 9008772480 is 842778009.

9008772480 is a `hidden beast` number, since 90 + 0 + 87 + 7 + 2 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7550764 + ... + 7551956.

It is an arithmetic number, because the mean of its divisors is an integer number (68505750).

Almost surely, 2^9008772480 is an apocalyptic number.

9008772480 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 9008772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537472000).

9008772480 is an abundant number, since it is smaller than the sum of its proper divisors (26066171520).

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

9008772480 is a wasteful number, since it uses less digits than its factorization.

9008772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 9008772480 is about 94914.5535732008. The cubic root of 9008772480 is about 2080.7594366894.

The spelling of 9008772480 in words is "nine billion, eight million, seven hundred seventy-two thousand, four hundred eighty".