8279341056 has 432 divisors, whose sum is σ = 28401937200. Its totient is φ = 2316238848.

The previous prime is 8279340983. The next prime is 8279341061. The reversal of 8279341056 is 6501439728.

8279341056 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

8279341056 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80381901 + ... + 80382003.

It is an arithmetic number, because the mean of its divisors is an integer number (65745225).

It is a 1-persistent number, because it is pandigital, but 2⋅8279341056 = 16558682112 is not.

Almost surely, 2^8279341056 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 8279341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200968600).

8279341056 is an abundant number, since it is smaller than the sum of its proper divisors (20122596144).

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

8279341056 is a wasteful number, since it uses less digits than its factorization.

8279341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8279341056 is about 90990.8844665222. The cubic root of 8279341056 is about 2023.0126155110.

The spelling of 8279341056 in words is "eight billion, two hundred seventy-nine million, three hundred forty-one thousand, fifty-six".