8429968260 has 576 divisors, whose sum is σ = 32718766080. Its totient is φ = 1713208320.

The previous prime is 8429968259. The next prime is 8429968271. The reversal of 8429968260 is 628699248.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8429968197 and 8429968206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27459027 + ... + 27459333.

Almost surely, 2^8429968260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8429968260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359383040).

8429968260 is an abundant number, since it is smaller than the sum of its proper divisors (24288797820).

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

8429968260 is a wasteful number, since it uses less digits than its factorization.

8429968260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 8429968260 is about 91814.8586014268. The cubic root of 8429968260 is about 2035.2072754399.

The spelling of 8429968260 in words is "eight billion, four hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred sixty".