6838848864 has 72 divisors (see below), whose sum is σ = 19567423512. Its totient is φ = 2265615360.

The previous prime is 6838848763. The next prime is 6838848883. The reversal of 6838848864 is 4688488386.

6838848864 is a `hidden beast` number, since 68 + 38 + 8 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 25897 + ... + 119784.

It is an arithmetic number, because the mean of its divisors is an integer number (271769771).

Almost surely, 2^6838848864 is an apocalyptic number.

It is an amenable number.

6838848864 is an abundant number, since it is smaller than the sum of its proper divisors (12728574648).

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

6838848864 is a wasteful number, since it uses less digits than its factorization.

6838848864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145860 (or 145849 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The square root of 6838848864 is about 82697.3328711392. The cubic root of 6838848864 is about 1898.1374974738.

The spelling of 6838848864 in words is "six billion, eight hundred thirty-eight million, eight hundred forty-eight thousand, eight hundred sixty-four".