6819127840512 has 1728 divisors, whose sum is σ = 23655869677440. Its totient is φ = 1872809164800.

The previous prime is 6819127840507. The next prime is 6819127840531. The reversal of 6819127840512 is 2150487219186.

6819127840512 is a `hidden beast` number, since 6 + 8 + 1 + 9 + 12 + 78 + 40 + 512 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93412710108 + ... + 93412710180.

Almost surely, 2^{6819127840512} 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 6819127840512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827934838720).

6819127840512 is an abundant number, since it is smaller than the sum of its proper divisors (16836741836928).

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

6819127840512 is a wasteful number, since it uses less digits than its factorization.

6819127840512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 6819127840512 in words is "six trillion, eight hundred nineteen billion, one hundred twenty-seven million, eight hundred forty thousand, five hundred twelve".