8064132672 has 112 divisors (see below), whose sum is σ = 22982602752. Its totient is φ = 2488189440.

The previous prime is 8064132653. The next prime is 8064132697. The reversal of 8064132672 is 2762314608.

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 8064132672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107443 + ... + 166349.

Almost surely, 2^8064132672 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 8064132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491301376).

8064132672 is an abundant number, since it is smaller than the sum of its proper divisors (14918470080).

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

8064132672 is a wasteful number, since it uses less digits than its factorization.

8064132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58976 (or 58966 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 8064132672 is about 89800.5159896089. The cubic root of 8064132672 is about 2005.3301713505.

The spelling of 8064132672 in words is "eight billion, sixty-four million, one hundred thirty-two thousand, six hundred seventy-two".