8172025664 has 112 divisors (see below), whose sum is σ = 18816157440. Its totient is φ = 3480207360.

The previous prime is 8172025637. The next prime is 8172025669. The reversal of 8172025664 is 4665202718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172025669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2858924 + ... + 2861780.

Almost surely, 2^8172025664 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 8172025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408078720).

8172025664 is an abundant number, since it is smaller than the sum of its proper divisors (10644131776).

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

8172025664 is a wasteful number, since it uses less digits than its factorization.

8172025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 8172025664 is about 90399.2569880970. The cubic root of 8172025664 is about 2014.2339293064.

The spelling of 8172025664 in words is "eight billion, one hundred seventy-two million, twenty-five thousand, six hundred sixty-four".