9479501280 has 480 divisors, whose sum is σ = 35598800160. Its totient is φ = 2368880640.

The previous prime is 9479501219. The next prime is 9479501303. The reversal of 9479501280 is 821059749.

9479501280 is a `hidden beast` number, since 9 + 479 + 50 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 33734740 + ... + 33735020.

It is an arithmetic number, because the mean of its divisors is an integer number (74164167).

Almost surely, 2^9479501280 is an apocalyptic number.

9479501280 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 9479501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799400080).

9479501280 is an abundant number, since it is smaller than the sum of its proper divisors (26119298880).

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

9479501280 is a wasteful number, since it uses less digits than its factorization.

9479501280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9479501280 is about 97362.7304465112. The cubic root of 9479501280 is about 2116.3873800465.

The spelling of 9479501280 in words is "nine billion, four hundred seventy-nine million, five hundred one thousand, two hundred eighty".