6806134849536 has 552 divisors, whose sum is σ = 22079082059424. Its totient is φ = 2002192957440.

The previous prime is 6806134849489. The next prime is 6806134849571. The reversal of 6806134849536 is 6359484316086.

6806134849536 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 13 + 4 + 84 + 9 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15363735331 + ... + 15363735773.

Almost surely, 2^{6806134849536} is an apocalyptic number.

6806134849536 is a gapful number since it is divisible by the number (66) 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 6806134849536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039541029712).

6806134849536 is an abundant number, since it is smaller than the sum of its proper divisors (15272947209888).

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

6806134849536 is an frugal number, since it uses more digits than its factorization.

6806134849536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 6806134849536 in words is "six trillion, eight hundred six billion, one hundred thirty-four million, eight hundred forty-nine thousand, five hundred thirty-six".