8064067200 has 768 divisors, whose sum is σ = 32378880000. Its totient is φ = 1761177600.

The previous prime is 8064067163. The next prime is 8064067223. The reversal of 8064067200 is 27604608.

It is a super-3 number, since 3×8064067200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 102076761 + ... + 102076839.

It is an arithmetic number, because the mean of its divisors is an integer number (42160000).

Almost surely, 2^8064067200 is an apocalyptic number.

8064067200 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 8064067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440000).

8064067200 is an abundant number, since it is smaller than the sum of its proper divisors (24314812800).

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

8064067200 is a wasteful number, since it uses less digits than its factorization.

8064067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 8064067200 is about 89800.1514475338. The cubic root of 8064067200 is about 2005.3247443014.

The spelling of 8064067200 in words is "eight billion, sixty-four million, sixty-seven thousand, two hundred".