8753073966 has 48 divisors (see below), whose sum is σ = 23341534944. Its totient is φ = 2308502592.

The previous prime is 8753073961. The next prime is 8753073971. The reversal of 8753073966 is 6693703578.

8753073966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8753073961) and next prime (8753073971).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8753073961) 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 23 ways as a sum of consecutive naturals, for example, 2670241 + ... + 2673516.

It is an arithmetic number, because the mean of its divisors is an integer number (486281978).

Almost surely, 2^8753073966 is an apocalyptic number.

8753073966 is an abundant number, since it is smaller than the sum of its proper divisors (14588460978).

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

8753073966 is a wasteful number, since it uses less digits than its factorization.

8753073966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343785 (or 5343782 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 8753073966 is about 93557.8642659183. The cubic root of 8753073966 is about 2060.8839300496.

The spelling of 8753073966 in words is "eight billion, seven hundred fifty-three million, seventy-three thousand, nine hundred sixty-six".