9546156480 has 448 divisors, whose sum is σ = 36078566400. Its totient is φ = 2136895488.

The previous prime is 9546156469. The next prime is 9546156481. The reversal of 9546156480 is 846516459.

9546156480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×9546156480³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9546156481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17451567 + ... + 17452113.

Almost surely, 2^9546156480 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 9546156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18039283200).

9546156480 is an abundant number, since it is smaller than the sum of its proper divisors (26532409920).

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

9546156480 is a wasteful number, since it uses less digits than its factorization.

9546156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 9546156480 is about 97704.4342903637. The cubic root of 9546156480 is about 2121.3362644758.

The spelling of 9546156480 in words is "nine billion, five hundred forty-six million, one hundred fifty-six thousand, four hundred eighty".