8450064000 has 768 divisors, whose sum is σ = 35446844160. Its totient is φ = 1889280000.

The previous prime is 8450063987. The next prime is 8450064017. The reversal of 8450064000 is 4600548.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83663950 + ... + 83664050.

It is an arithmetic number, because the mean of its divisors is an integer number (46154745).

Almost surely, 2^8450064000 is an apocalyptic number.

8450064000 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 8450064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17723422080).

8450064000 is an abundant number, since it is smaller than the sum of its proper divisors (26996780160).

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

8450064000 is a wasteful number, since it uses less digits than its factorization.

8450064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8450064000 is about 91924.2296676997. The cubic root of 8450064000 is about 2036.8231984978.

Adding to 8450064000 its reverse (4600548), we get a palindrome (8454664548).

The spelling of 8450064000 in words is "eight billion, four hundred fifty million, sixty-four thousand".