6806761741548 has 192 divisors, whose sum is σ = 18555387110400. Its totient is φ = 2153673308160.

The previous prime is 6806761741519. The next prime is 6806761741553. The reversal of 6806761741548 is 8451471676086.

6806761741548 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 7 + 617 + 4 + 1 + 5 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) 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 63 ways as a sum of consecutive naturals, for example, 1288912668 + ... + 1288917948.

It is an arithmetic number, because the mean of its divisors is an integer number (96642641200).

Almost surely, 2^{6806761741548} 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 6806761741548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277693555200).

6806761741548 is an abundant number, since it is smaller than the sum of its proper divisors (11748625368852).

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

6806761741548 is a wasteful number, since it uses less digits than its factorization.

6806761741548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9181 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 6806761741548 in words is "six trillion, eight hundred six billion, seven hundred sixty-one million, seven hundred forty-one thousand, five hundred forty-eight".