8073146688 has 112 divisors (see below), whose sum is σ = 21712367040. Its totient is φ = 2647056384.

The previous prime is 8073146659. The next prime is 8073146693. The reversal of 8073146688 is 8866413708.

It is a self number, because there is not a number n which added to its sum of digits gives 8073146688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3014406 + ... + 3017082.

It is an arithmetic number, because the mean of its divisors is an integer number (193860420).

Almost surely, 2^8073146688 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 8073146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856183520).

8073146688 is an abundant number, since it is smaller than the sum of its proper divisors (13639220352).

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

8073146688 is a wasteful number, since it uses less digits than its factorization.

8073146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 8073146688 is about 89850.6910824842. The cubic root of 8073146688 is about 2006.0770732213.

The spelling of 8073146688 in words is "eight billion, seventy-three million, one hundred forty-six thousand, six hundred eighty-eight".