8127664128 has 156 divisors (see below), whose sum is σ = 23981675328. Its totient is φ = 2651013120.

The previous prime is 8127664037. The next prime is 8127664133. The reversal of 8127664128 is 8214667218.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1730263 + ... + 1734953.

It is an arithmetic number, because the mean of its divisors is an integer number (153728688).

Almost surely, 2^8127664128 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 8127664128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990837664).

8127664128 is an abundant number, since it is smaller than the sum of its proper divisors (15854011200).

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

8127664128 is a wasteful number, since it uses less digits than its factorization.

8127664128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4743 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 8127664128 is about 90153.5585986488. The cubic root of 8127664128 is about 2010.5825830386.

The spelling of 8127664128 in words is "eight billion, one hundred twenty-seven million, six hundred sixty-four thousand, one hundred twenty-eight".