8429779248 has 80 divisors (see below), whose sum is σ = 25007030400. Its totient is φ = 2420029440.

The previous prime is 8429779219. The next prime is 8429779279.

8429779248 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8429779248² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8429779191 and 8429779200.

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 15 ways as a sum of consecutive naturals, for example, 410113 + ... + 430176.

It is an arithmetic number, because the mean of its divisors is an integer number (312587880).

Almost surely, 2^8429779248 is an apocalyptic number.

8429779248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8429779248 is an abundant number, since it is smaller than the sum of its proper divisors (16577251152).

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

8429779248 is a wasteful number, since it uses less digits than its factorization.

8429779248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840330 (or 840324 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 8429779248 is about 91813.8292851355. The cubic root of 8429779248 is about 2035.1920645692.

The spelling of 8429779248 in words is "eight billion, four hundred twenty-nine million, seven hundred seventy-nine thousand, two hundred forty-eight".