6806537741520 has 240 divisors, whose sum is σ = 25046539008192. Its totient is φ = 1642800291840.

The previous prime is 6806537741503. The next prime is 6806537741539. The reversal of 6806537741520 is 251477356086.

6806537741520 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 5 + 3 + 77 + 41 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 95137 + ... + 3690816.

Almost surely, 2^{6806537741520} is an apocalyptic number.

6806537741520 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 6806537741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523269504096).

6806537741520 is an abundant number, since it is smaller than the sum of its proper divisors (18240001266672).

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

6806537741520 is a wasteful number, since it uses less digits than its factorization.

6806537741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786210 (or 3786201 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 6806537741520 in words is "six trillion, eight hundred six billion, five hundred thirty-seven million, seven hundred forty-one thousand, five hundred twenty".