8246979360 has 480 divisors, whose sum is σ = 30867661440. Its totient is φ = 2069286912.

The previous prime is 8246979343. The next prime is 8246979397. The reversal of 8246979360 is 639796428.

It is a happy number.

8246979360 is a `hidden beast` number, since 82 + 469 + 79 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8246979297 and 8246979306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21759651 + ... + 21760029.

It is an arithmetic number, because the mean of its divisors is an integer number (64307628).

Almost surely, 2^8246979360 is an apocalyptic number.

8246979360 is a gapful number since it is divisible by the number (80) 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 8246979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433830720).

8246979360 is an abundant number, since it is smaller than the sum of its proper divisors (22620682080).

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

8246979360 is a wasteful number, since it uses less digits than its factorization.

8246979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 8246979360 is about 90812.8810246652. The cubic root of 8246979360 is about 2020.3733714951.

The spelling of 8246979360 in words is "eight billion, two hundred forty-six million, nine hundred seventy-nine thousand, three hundred sixty".