8479215360 has 864 divisors, whose sum is σ = 37345351680. Its totient is φ = 1739612160.

The previous prime is 8479215359. The next prime is 8479215377. The reversal of 8479215360 is 635129748.

8479215360 is a `hidden beast` number, since 8 + 4 + 79 + 215 + 360 = 666.

8479215360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

8479215360 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 95 ways as a sum of consecutive naturals, for example, 107331801 + ... + 107331879.

It is a 2-persistent number, because it is pandigital, and so is 2⋅8479215360 = 16958430720, but 3⋅8479215360 = 25437646080 is not.

Almost surely, 2^8479215360 is an apocalyptic number.

8479215360 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 8479215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672675840).

8479215360 is an abundant number, since it is smaller than the sum of its proper divisors (28866136320).

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

8479215360 is a wasteful number, since it uses less digits than its factorization.

8479215360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

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

The square root of 8479215360 is about 92082.6550442590. The cubic root of 8479215360 is about 2039.1627475424.

The spelling of 8479215360 in words is "eight billion, four hundred seventy-nine million, two hundred fifteen thousand, three hundred sixty".