9540528480 has 288 divisors, whose sum is σ = 37341368064. Its totient is φ = 2172883968.

The previous prime is 9540528451. The next prime is 9540528509. The reversal of 9540528480 is 848250459.

9540528480 is a `hidden beast` number, since 9 + 5 + 40 + 528 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (9540528451) and next prime (9540528509).

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

It is a super-2 number, since 2×9540528480² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3093019 + ... + 3096101.

It is an arithmetic number, because the mean of its divisors is an integer number (129657528).

Almost surely, 2^9540528480 is an apocalyptic number.

9540528480 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 9540528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18670684032).

9540528480 is an abundant number, since it is smaller than the sum of its proper divisors (27800839584).

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

9540528480 is a wasteful number, since it uses less digits than its factorization.

9540528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 9540528480 is about 97675.6288948272. The cubic root of 9540528480 is about 2120.9192998924.

The spelling of 9540528480 in words is "nine billion, five hundred forty million, five hundred twenty-eight thousand, four hundred eighty".