8064733600 has 432 divisors, whose sum is σ = 25488056160. Its totient is φ = 2463283200.

The previous prime is 8064733571. The next prime is 8064733603. The reversal of 8064733600 is 63374608.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8064733600.

It is not an unprimeable number, because it can be changed into a prime (8064733603) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25440642 + ... + 25440958.

It is an arithmetic number, because the mean of its divisors is an integer number (59000130).

Almost surely, 2^8064733600 is an apocalyptic number.

8064733600 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 8064733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744028080).

8064733600 is an abundant number, since it is smaller than the sum of its proper divisors (17423322560).

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

8064733600 is a wasteful number, since it uses less digits than its factorization.

8064733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 8064733600 is about 89803.8618323288. The cubic root of 8064733600 is about 2005.3799815891.

The spelling of 8064733600 in words is "eight billion, sixty-four million, seven hundred thirty-three thousand, six hundred".