9072807480 has 144 divisors (see below), whose sum is σ = 32411073240. Its totient is φ = 2199457920.

The previous prime is 9072807449. The next prime is 9072807511. The reversal of 9072807480 is 847082709.

9072807480 is a `hidden beast` number, since 90 + 7 + 2 + 80 + 7 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (9072807449) and next prime (9072807511).

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60582 + ... + 147701.

Almost surely, 2^9072807480 is an apocalyptic number.

9072807480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9072807480 is an abundant number, since it is smaller than the sum of its proper divisors (23338265760).

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

9072807480 is a wasteful number, since it uses less digits than its factorization.

9072807480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208322 (or 208304 counting only the distinct ones).

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

The square root of 9072807480 is about 95251.2859755710. The cubic root of 9072807480 is about 2085.6778638878.

The spelling of 9072807480 in words is "nine billion, seventy-two million, eight hundred seven thousand, four hundred eighty".