8479680480 has 384 divisors, whose sum is σ = 31979888640. Its totient is φ = 2092400640.

The previous prime is 8479680421. The next prime is 8479680481. The reversal of 8479680480 is 840869748.

8479680480 is a `hidden beast` number, since 84 + 7 + 9 + 6 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8479680481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3078784 + ... + 3081536.

It is an arithmetic number, because the mean of its divisors is an integer number (83280960).

Almost surely, 2^8479680480 is an apocalyptic number.

8479680480 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 8479680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15989944320).

8479680480 is an abundant number, since it is smaller than the sum of its proper divisors (23500208160).

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

8479680480 is a wasteful number, since it uses less digits than its factorization.

8479680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 8479680480 is about 92085.1805666905. The cubic root of 8479680480 is about 2039.2000323617.

The spelling of 8479680480 in words is "eight billion, four hundred seventy-nine million, six hundred eighty thousand, four hundred eighty".