9061512480 has 288 divisors, whose sum is σ = 31444686000. Its totient is φ = 2376032256.

The previous prime is 9061512461. The next prime is 9061512569. The reversal of 9061512480 is 842151609.

9061512480 is a `hidden beast` number, since 9 + 0 + 61 + 512 + 4 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 144865296 + 8916647184 = 12036^2 + 94428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9061512480² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33685786 + ... + 33686054.

Almost surely, 2^9061512480 is an apocalyptic number.

9061512480 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 9061512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15722343000).

9061512480 is an abundant number, since it is smaller than the sum of its proper divisors (22383173520).

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

9061512480 is a wasteful number, since it uses less digits than its factorization.

9061512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9061512480 is about 95191.9769728521. The cubic root of 9061512480 is about 2084.8119976095.

The spelling of 9061512480 in words is "nine billion, sixty-one million, five hundred twelve thousand, four hundred eighty".