8973173664 has 288 divisors, whose sum is σ = 31767240960. Its totient is φ = 2339352576.

The previous prime is 8973173663. The next prime is 8973173669. The reversal of 8973173664 is 4663713798.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8973173664.

It is not an unprimeable number, because it can be changed into a prime (8973173663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330589 + ... + 2334435.

It is an arithmetic number, because the mean of its divisors is an integer number (110302920).

Almost surely, 2^8973173664 is an apocalyptic number.

8973173664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8973173664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15883620480).

8973173664 is an abundant number, since it is smaller than the sum of its proper divisors (22794067296).

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

8973173664 is a wasteful number, since it uses less digits than its factorization.

8973173664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3961 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 8973173664 is about 94726.8370843237. The cubic root of 8973173664 is about 2078.0150615092.

The spelling of 8973173664 in words is "eight billion, nine hundred seventy-three million, one hundred seventy-three thousand, six hundred sixty-four".