6812112624 has 80 divisors (see below), whose sum is σ = 18380192640. Its totient is φ = 2171854080.

The previous prime is 6812112623. The next prime is 6812112667. The reversal of 6812112624 is 4262112186.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6812112623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72279 + ... + 137289.

It is an arithmetic number, because the mean of its divisors is an integer number (229752408).

Almost surely, 2^6812112624 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 6812112624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190096320).

6812112624 is an abundant number, since it is smaller than the sum of its proper divisors (11568080016).

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

6812112624 is a wasteful number, since it uses less digits than its factorization.

6812112624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65118 (or 65112 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 6812112624 is about 82535.5234065914. The cubic root of 6812112624 is about 1895.6606996677.

The spelling of 6812112624 in words is "six billion, eight hundred twelve million, one hundred twelve thousand, six hundred twenty-four".