8127516672 has 520 divisors, whose sum is σ = 28258556832. Its totient is φ = 2300313600.

The previous prime is 8127516641. The next prime is 8127516737. The reversal of 8127516672 is 2766157218.

8127516672 is a `hidden beast` number, since 8 + 127 + 516 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62042047 + ... + 62042177.

Almost surely, 2^8127516672 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 8127516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129278416).

8127516672 is an abundant number, since it is smaller than the sum of its proper divisors (20131040160).

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

8127516672 is a wasteful number, since it uses less digits than its factorization.

8127516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 164 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 8127516672 is about 90152.7407902832. The cubic root of 8127516672 is about 2010.5704239789.

The spelling of 8127516672 in words is "eight billion, one hundred twenty-seven million, five hundred sixteen thousand, six hundred seventy-two".