8282416320 has 672 divisors, whose sum is σ = 32339036160. Its totient is φ = 1992867840.

The previous prime is 8282416301. The next prime is 8282416333. The reversal of 8282416320 is 236142828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 77405707 + ... + 77405813.

Almost surely, 2^8282416320 is an apocalyptic number.

8282416320 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 8282416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169518080).

8282416320 is an abundant number, since it is smaller than the sum of its proper divisors (24056619840).

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

8282416320 is a wasteful number, since it uses less digits than its factorization.

8282416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8282416320 is about 91007.7816453077. The cubic root of 8282416320 is about 2023.2630592645.

The spelling of 8282416320 in words is "eight billion, two hundred eighty-two million, four hundred sixteen thousand, three hundred twenty".