8279541504 has 432 divisors, whose sum is σ = 27367884544. Its totient is φ = 2388787200.

The previous prime is 8279541503. The next prime is 8279541563. The reversal of 8279541504 is 4051459728.

It is a self number, because there is not a number n which added to its sum of digits gives 8279541504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8279541503) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34354824 + ... + 34355064.

Almost surely, 2^8279541504 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 8279541504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683942272).

8279541504 is an abundant number, since it is smaller than the sum of its proper divisors (19088343040).

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

8279541504 is a wasteful number, since it uses less digits than its factorization.

8279541504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8279541504 is about 90991.9859328282. The cubic root of 8279541504 is about 2023.0289415108.

The spelling of 8279541504 in words is "eight billion, two hundred seventy-nine million, five hundred forty-one thousand, five hundred four".