9546576480 has 576 divisors, whose sum is σ = 38886801408. Its totient is φ = 2086871040.

The previous prime is 9546576469. The next prime is 9546576493. The reversal of 9546576480 is 846756459.

9546576480 is a `hidden beast` number, since 9 + 546 + 57 + 6 + 48 + 0 = 666.

It is a super-2 number, since 2×9546576480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42809649 + ... + 42809871.

It is an arithmetic number, because the mean of its divisors is an integer number (67511808).

Almost surely, 2^9546576480 is an apocalyptic number.

9546576480 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 9546576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443400704).

9546576480 is an abundant number, since it is smaller than the sum of its proper divisors (29340224928).

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

9546576480 is a wasteful number, since it uses less digits than its factorization.

9546576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 9546576480 is about 97706.5836062238. The cubic root of 9546576480 is about 2121.3673746637.

The spelling of 9546576480 in words is "nine billion, five hundred forty-six million, five hundred seventy-six thousand, four hundred eighty".