8064832564800 has 1008 divisors, whose sum is σ = 32392451750400. Its totient is φ = 1950423552000.

The previous prime is 8064832564769. The next prime is 8064832564801. The reversal of 8064832564800 is 84652384608.

8064832564800 is a `hidden beast` number, since 8 + 0 + 6 + 48 + 32 + 564 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8064832564801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2503827190 + ... + 2503830410.

It is an arithmetic number, because the mean of its divisors is an integer number (32135368800).

Almost surely, 2^{8064832564800} is an apocalyptic number.

8064832564800 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 8064832564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196225875200).

8064832564800 is an abundant number, since it is smaller than the sum of its proper divisors (24327619185600).

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

8064832564800 is a wasteful number, since it uses less digits than its factorization.

8064832564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 8064832564800 in words is "eight trillion, sixty-four billion, eight hundred thirty-two million, five hundred sixty-four thousand, eight hundred".