6816342816864 has 144 divisors (see below), whose sum is σ = 23116293188352. Its totient is φ = 1862851440384.

The previous prime is 6816342816859. The next prime is 6816342816889. The reversal of 6816342816864 is 4686182436186.

It is a happy number.

6816342816864 is a `hidden beast` number, since 6 + 81 + 63 + 428 + 16 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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, 73456294 + ... + 73549029.

It is an arithmetic number, because the mean of its divisors is an integer number (160529813808).

Almost surely, 2^{6816342816864} is an apocalyptic number.

It is an amenable number.

6816342816864 is an abundant number, since it is smaller than the sum of its proper divisors (16299950371488).

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

6816342816864 is a wasteful number, since it uses less digits than its factorization.

6816342816864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147005369 (or 147005358 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 6816342816864 in words is "six trillion, eight hundred sixteen billion, three hundred forty-two million, eight hundred sixteen thousand, eight hundred sixty-four".