9072580608 has 480 divisors, whose sum is σ = 33408254880. Its totient is φ = 2388787200.

The previous prime is 9072580607. The next prime is 9072580609. The reversal of 9072580608 is 8060852709.

9072580608 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 580 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9072580607) and next prime (9072580609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9072580607) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095508 + ... + 15096108.

It is an arithmetic number, because the mean of its divisors is an integer number (69600531).

Almost surely, 2^9072580608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072580608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704127440).

9072580608 is an abundant number, since it is smaller than the sum of its proper divisors (24335674272).

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

9072580608 is a wasteful number, since it uses less digits than its factorization.

9072580608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 9072580608 is about 95250.0950550707. The cubic root of 9072580608 is about 2085.6604791238.

It can be divided in two parts, 9072 and 580608, that multiplied together give a square (5267275776 = 72576²).

The spelling of 9072580608 in words is "nine billion, seventy-two million, five hundred eighty thousand, six hundred eight".