8064222400000 has 960 divisors, whose sum is σ = 22652373655296. Its totient is φ = 2848849920000.

The previous prime is 8064222399983. The next prime is 8064222400021. The reversal of 8064222400000 is 42224608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71364799944 + ... + 71364800056.

Almost surely, 2^{8064222400000} is an apocalyptic number.

8064222400000 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 8064222400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326186827648).

8064222400000 is an abundant number, since it is smaller than the sum of its proper divisors (14588151255296).

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

8064222400000 is an equidigital number, since it uses as much as digits as its factorization.

8064222400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 8064222400000 its reverse (42224608), we get a palindrome (8064264624608).

The spelling of 8064222400000 in words is "eight trillion, sixty-four billion, two hundred twenty-two million, four hundred thousand".