8386980480 has 192 divisors, whose sum is σ = 29138054400. Its totient is φ = 2222880768.

The previous prime is 8386980479. The next prime is 8386980493. The reversal of 8386980480 is 840896838.

8386980480 is a `hidden beast` number, since 8 + 3 + 86 + 9 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957561 + ... + 966279.

It is an arithmetic number, because the mean of its divisors is an integer number (151760700).

Almost surely, 2^8386980480 is an apocalyptic number.

8386980480 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 8386980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14569027200).

8386980480 is an abundant number, since it is smaller than the sum of its proper divisors (20751073920).

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

8386980480 is a wasteful number, since it uses less digits than its factorization.

8386980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8911 (or 8896 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8386980480 is about 91580.4590510443. The cubic root of 8386980480 is about 2031.7419330438.

The spelling of 8386980480 in words is "eight billion, three hundred eighty-six million, nine hundred eighty thousand, four hundred eighty".