6812755488 has 576 divisors, whose sum is σ = 25360957440. Its totient is φ = 1683763200.

The previous prime is 6812755427. The next prime is 6812755493. The reversal of 6812755488 is 8845572186.

6812755488 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 7 + 554 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53643681 + ... + 53643807.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^6812755488 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 6812755488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680478720).

6812755488 is an abundant number, since it is smaller than the sum of its proper divisors (18548201952).

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

6812755488 is a wasteful number, since it uses less digits than its factorization.

6812755488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The square root of 6812755488 is about 82539.4177832628. The cubic root of 6812755488 is about 1895.7203294162.

The spelling of 6812755488 in words is "six billion, eight hundred twelve million, seven hundred fifty-five thousand, four hundred eighty-eight".