8210979504 has 320 divisors, whose sum is σ = 30536934400. Its totient is φ = 2051371008.

The previous prime is 8210979499. The next prime is 8210979521. The reversal of 8210979504 is 4059790128.

It is a self number, because there is not a number n which added to its sum of digits gives 8210979504.

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 63 ways as a sum of consecutive naturals, for example, 741432 + ... + 752424.

It is an arithmetic number, because the mean of its divisors is an integer number (95427920).

Almost surely, 2^8210979504 is an apocalyptic number.

8210979504 is a gapful number since it is divisible by the number (84) 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 8210979504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268467200).

8210979504 is an abundant number, since it is smaller than the sum of its proper divisors (22325954896).

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

8210979504 is a wasteful number, since it uses less digits than its factorization.

8210979504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11049 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 8210979504 is about 90614.4552706686. The cubic root of 8210979504 is about 2017.4292939663.

The spelling of 8210979504 in words is "eight billion, two hundred ten million, nine hundred seventy-nine thousand, five hundred four".