6814743675264 has 288 divisors, whose sum is σ = 23598408553200. Its totient is φ = 1879928838144.

The previous prime is 6814743675263. The next prime is 6814743675281. The reversal of 6814743675264 is 4625763474186.

6814743675264 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 7 + 4 + 367 + 5 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814743675263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 444492 + ... + 3718475.

Almost surely, 2^{6814743675264} is an apocalyptic number.

6814743675264 is a gapful number since it is divisible by the number (64) 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 6814743675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799204276600).

6814743675264 is an abundant number, since it is smaller than the sum of its proper divisors (16783664877936).

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

6814743675264 is a wasteful number, since it uses less digits than its factorization.

6814743675264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163030 (or 4163008 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 6814743675264 in words is "six trillion, eight hundred fourteen billion, seven hundred forty-three million, six hundred seventy-five thousand, two hundred sixty-four".