8066129664 has 72 divisors (see below), whose sum is σ = 21636966400. Its totient is φ = 2667506688.

The previous prime is 8066129663. The next prime is 8066129677. The reversal of 8066129664 is 4669216608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066129663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56187 + ... + 138885.

Almost surely, 2^8066129664 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 8066129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10818483200).

8066129664 is an abundant number, since it is smaller than the sum of its proper divisors (13570836736).

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

8066129664 is a wasteful number, since it uses less digits than its factorization.

8066129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82845 (or 82831 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 8066129664 is about 89811.6343465589. The cubic root of 8066129664 is about 2005.4956901960.

The spelling of 8066129664 in words is "eight billion, sixty-six million, one hundred twenty-nine thousand, six hundred sixty-four".