6806218041792 has 336 divisors, whose sum is σ = 21857858760192. Its totient is φ = 2087467822080.

The previous prime is 6806218041773. The next prime is 6806218041809. The reversal of 6806218041792 is 2971408126086.

It is a happy number.

6806218041792 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 218 + 0 + 417 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62822613 + ... + 62930859.

It is an arithmetic number, because the mean of its divisors is an integer number (65053151072).

Almost surely, 2^{6806218041792} 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 6806218041792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10928929380096).

6806218041792 is an abundant number, since it is smaller than the sum of its proper divisors (15051640718400).

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

6806218041792 is a wasteful number, since it uses less digits than its factorization.

6806218041792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108598 (or 108576 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 6806218041792 in words is "six trillion, eight hundred six billion, two hundred eighteen million, forty-one thousand, seven hundred ninety-two".