8118963072 has 320 divisors, whose sum is σ = 26556528240. Its totient is φ = 2441871360.

The previous prime is 8118963059. The next prime is 8118963077. The reversal of 8118963072 is 2703698118.

8118963072 is a `hidden beast` number, since 8 + 1 + 1 + 8 + 9 + 630 + 7 + 2 = 666.

It is a super-2 number, since 2×8118963072² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8118963077) 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 39 ways as a sum of consecutive naturals, for example, 29310198 + ... + 29310474.

Almost surely, 2^8118963072 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 8118963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278264120).

8118963072 is an abundant number, since it is smaller than the sum of its proper divisors (18437565168).

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

8118963072 is a wasteful number, since it uses less digits than its factorization.

8118963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8118963072 is about 90105.2888125886. The cubic root of 8118963072 is about 2009.8648516839.

The spelling of 8118963072 in words is "eight billion, one hundred eighteen million, nine hundred sixty-three thousand, seventy-two".