6819688512 has 448 divisors, whose sum is σ = 25489408000. Its totient is φ = 1739335680.

The previous prime is 6819688511. The next prime is 6819688529. The reversal of 6819688512 is 2158869186.

It is a happy number.

6819688512 is a `hidden beast` number, since 68 + 1 + 9 + 68 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (6819688511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4873989 + ... + 4875387.

It is an arithmetic number, because the mean of its divisors is an integer number (56896000).

Almost surely, 2^6819688512 is an apocalyptic number.

6819688512 is a gapful number since it is divisible by the number (62) 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 6819688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744704000).

6819688512 is an abundant number, since it is smaller than the sum of its proper divisors (18669719488).

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

6819688512 is a wasteful number, since it uses less digits than its factorization.

6819688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 6819688512 is about 82581.4053646461. The cubic root of 6819688512 is about 1896.3631735007.

The spelling of 6819688512 in words is "six billion, eight hundred nineteen million, six hundred eighty-eight thousand, five hundred twelve".