8282779648 has 208 divisors, whose sum is σ = 19815667200. Its totient is φ = 3412131840.

The previous prime is 8282779621. The next prime is 8282779663. The reversal of 8282779648 is 8469772828.

It is a tau number, because it is divible by the number of its divisors (208).

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 15 ways as a sum of consecutive naturals, for example, 46272423 + ... + 46272601.

Almost surely, 2^8282779648 is an apocalyptic number.

8282779648 is a gapful number since it is divisible by the number (88) 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 8282779648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9907833600).

8282779648 is an abundant number, since it is smaller than the sum of its proper divisors (11532887552).

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

8282779648 is a wasteful number, since it uses less digits than its factorization.

8282779648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The square root of 8282779648 is about 91009.7777604143. Note that the first 4 decimals coincide. The cubic root of 8282779648 is about 2023.2926439229.

The spelling of 8282779648 in words is "eight billion, two hundred eighty-two million, seven hundred seventy-nine thousand, six hundred forty-eight".