8167953672 has 36 divisors (see below), whose sum is σ = 22123618335. Its totient is φ = 2722395600.

The previous prime is 8167953667. The next prime is 8167953679. The reversal of 8167953672 is 2763597618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4083976836 + 4083976836 = 63906^2 + 63906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=63906.

It is not an unprimeable number, because it can be changed into a prime (8167953679) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 761547 + ... + 772197.

Almost surely, 2^8167953672 is an apocalyptic number.

It is an amenable number.

8167953672 is an abundant number, since it is smaller than the sum of its proper divisors (13955664663).

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

8167953672 is an equidigital number, since it uses as much as digits as its factorization.

8167953672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21314 (or 10656 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 8167953672 is about 90376.7319170150. The cubic root of 8167953672 is about 2013.8993200161.

The spelling of 8167953672 in words is "eight billion, one hundred sixty-seven million, nine hundred fifty-three thousand, six hundred seventy-two".