8479365120 has 240 divisors, whose sum is σ = 30395645280. Its totient is φ = 2260942848.

The previous prime is 8479365109. The next prime is 8479365199. The reversal of 8479365120 is 215639748.

8479365120 is a `hidden beast` number, since 8 + 47 + 93 + 6 + 512 + 0 = 666.

8479365120 is digitally balanced in base 10, 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 (240).

It is a super-2 number, since 2×8479365120² (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).

8479365120 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 824329 + ... + 834551.

It is an arithmetic number, because the mean of its divisors is an integer number (126648522).

It is a 2-persistent number, because it is pandigital, and so is 2⋅8479365120 = 16958730240, but 3⋅8479365120 = 25438095360 is not.

Almost surely, 2^8479365120 is an apocalyptic number.

8479365120 is a gapful number since it is divisible by the number (80) 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 8479365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197822640).

8479365120 is an abundant number, since it is smaller than the sum of its proper divisors (21916280160).

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

8479365120 is a wasteful number, since it uses less digits than its factorization.

8479365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8479365120 is about 92083.4682231290. The cubic root of 8479365120 is about 2039.1747527105.

The spelling of 8479365120 in words is "eight billion, four hundred seventy-nine million, three hundred sixty-five thousand, one hundred twenty".