8112480768 has 720 divisors, whose sum is σ = 30079146240. Its totient is φ = 2090188800.

The previous prime is 8112480763. The next prime is 8112480773. The reversal of 8112480768 is 8670842118.

It is an interprime number because it is at equal distance from previous prime (8112480763) and next prime (8112480773).

It is a super-2 number, since 2×8112480768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8112480763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132991458 + ... + 132991518.

It is an arithmetic number, because the mean of its divisors is an integer number (41776592).

Almost surely, 2^8112480768 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 8112480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039573120).

8112480768 is an abundant number, since it is smaller than the sum of its proper divisors (21966665472).

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

8112480768 is a wasteful number, since it uses less digits than its factorization.

8112480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8112480768 is about 90069.3109110978. The cubic root of 8112480768 is about 2009.3298070076.

The spelling of 8112480768 in words is "eight billion, one hundred twelve million, four hundred eighty thousand, seven hundred sixty-eight".