8022613644000 has 288 divisors, whose sum is σ = 28565038678176. Its totient is φ = 2132392089600.

The previous prime is 8022613643963. The next prime is 8022613644007. The reversal of 8022613644000 is 4463162208.

8022613644000 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 6 + 1 + 3 + 644 + 0 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8022613644007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10689052 + ... + 11414948.

It is an arithmetic number, because the mean of its divisors is an integer number (99184162077).

Almost surely, 2^{8022613644000} is an apocalyptic number.

8022613644000 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 8022613644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14282519339088).

8022613644000 is an abundant number, since it is smaller than the sum of its proper divisors (20542425034176).

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

8022613644000 is a wasteful number, since it uses less digits than its factorization.

8022613644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726235 (or 726214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 8022613644000 in words is "eight trillion, twenty-two billion, six hundred thirteen million, six hundred forty-four thousand".