8064144000 has 512 divisors, whose sum is σ = 32422291200. Its totient is φ = 1953792000.

The previous prime is 8064143993. The next prime is 8064144007. The reversal of 8064144000 is 4414608.

It is an interprime number because it is at equal distance from previous prime (8064143993) and next prime (8064144007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8064144007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751152 + ... + 4752848.

Almost surely, 2^8064144000 is an apocalyptic number.

8064144000 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 8064144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211145600).

8064144000 is an abundant number, since it is smaller than the sum of its proper divisors (24358147200).

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

8064144000 is a wasteful number, since it uses less digits than its factorization.

8064144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8064144000 is about 89800.5790627210. The cubic root of 8064144000 is about 2005.3311103384.

Adding to 8064144000 its reverse (4414608), we get a palindrome (8068558608).

The spelling of 8064144000 in words is "eight billion, sixty-four million, one hundred forty-four thousand".