8480424960 has 528 divisors, whose sum is σ = 34211953152. Its totient is φ = 1902182400.

The previous prime is 8480424949. The next prime is 8480424989. The reversal of 8480424960 is 694240848.

8480424960 is a `hidden beast` number, since 84 + 80 + 4 + 2 + 496 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19675945 + ... + 19676375.

Almost surely, 2^8480424960 is an apocalyptic number.

8480424960 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 8480424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105976576).

8480424960 is an abundant number, since it is smaller than the sum of its proper divisors (25731528192).

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

8480424960 is a wasteful number, since it uses less digits than its factorization.

8480424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8480424960 is about 92089.2228222174. Note that the first 3 decimals coincide. The cubic root of 8480424960 is about 2039.2597083214.

The spelling of 8480424960 in words is "eight billion, four hundred eighty million, four hundred twenty-four thousand, nine hundred sixty".