8022082680864 has 288 divisors, whose sum is σ = 26165816861184. Its totient is φ = 2283766087680.

The previous prime is 8022082680853. The next prime is 8022082680883. The reversal of 8022082680864 is 4680862802208.

It is a happy number.

8022082680864 is a `hidden beast` number, since 80 + 220 + 8 + 268 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 8022082680864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126535224 + ... + 1126542344.

It is an arithmetic number, because the mean of its divisors is an integer number (90853530768).

Almost surely, 2^{8022082680864} is an apocalyptic number.

8022082680864 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 8022082680864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082908430592).

8022082680864 is an abundant number, since it is smaller than the sum of its proper divisors (18143734180320).

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

8022082680864 is a wasteful number, since it uses less digits than its factorization.

8022082680864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 8022082680864 in words is "eight trillion, twenty-two billion, eighty-two million, six hundred eighty thousand, eight hundred sixty-four".