9072600514560 has 1280 divisors, whose sum is σ = 37362373804800. Its totient is φ = 2083022438400.

The previous prime is 9072600514531. The next prime is 9072600514591. The reversal of 9072600514560 is 654150062709.

9072600514560 is a `hidden beast` number, since 9 + 0 + 72 + 6 + 0 + 0 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 79 ways as a sum of consecutive naturals, for example, 2773645725 + ... + 2773648995.

It is an arithmetic number, because the mean of its divisors is an integer number (29189354535).

Almost surely, 2^{9072600514560} is an apocalyptic number.

9072600514560 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 9072600514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681186902400).

9072600514560 is an abundant number, since it is smaller than the sum of its proper divisors (28289773290240).

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

9072600514560 is a wasteful number, since it uses less digits than its factorization.

9072600514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 9072600514560 in words is "nine trillion, seventy-two billion, six hundred million, five hundred fourteen thousand, five hundred sixty".