8144907264 has 704 divisors, whose sum is σ = 29052334080. Its totient is φ = 2229534720.

The previous prime is 8144907257. The next prime is 8144907293. The reversal of 8144907264 is 4627094418.

8144907264 is a `hidden beast` number, since 81 + 449 + 0 + 72 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189416427 + ... + 189416469.

It is an arithmetic number, because the mean of its divisors is an integer number (41267520).

Almost surely, 2^8144907264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526167040).

8144907264 is an abundant number, since it is smaller than the sum of its proper divisors (20907426816).

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

8144907264 is a wasteful number, since it uses less digits than its factorization.

8144907264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8144907264 is about 90249.1399626611. The cubic root of 8144907264 is about 2012.0034201624.

The spelling of 8144907264 in words is "eight billion, one hundred forty-four million, nine hundred seven thousand, two hundred sixty-four".