6812422565760 has 1024 divisors, whose sum is σ = 27865439078400. Its totient is φ = 1540767744000.

The previous prime is 6812422565743. The next prime is 6812422565777. The reversal of 6812422565760 is 675652242186.

6812422565760 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 4 + 2 + 2 + 565 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6812422565743) and next prime (6812422565777).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6812422565697 and 6812422565706.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5252445432 + ... + 5252446728.

It is an arithmetic number, because the mean of its divisors is an integer number (27212342850).

Almost surely, 2^{6812422565760} is an apocalyptic number.

6812422565760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6812422565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932719539200).

6812422565760 is an abundant number, since it is smaller than the sum of its proper divisors (21053016512640).

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

6812422565760 is a wasteful number, since it uses less digits than its factorization.

6812422565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 6812422565760 in words is "six trillion, eight hundred twelve billion, four hundred twenty-two million, five hundred sixty-five thousand, seven hundred sixty".