6838480512864 has 960 divisors, whose sum is σ = 27266463544320. Its totient is φ = 1623613870080.

The previous prime is 6838480512863. The next prime is 6838480512901. The reversal of 6838480512864 is 4682150848386.

6838480512864 is a `hidden beast` number, since 6 + 8 + 38 + 4 + 8 + 0 + 512 + 86 + 4 = 666.

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 (6838480512863) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 267230182 + ... + 267255770.

It is an arithmetic number, because the mean of its divisors is an integer number (28402566192).

Almost surely, 2^{6838480512864} 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 6838480512864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633231772160).

6838480512864 is an abundant number, since it is smaller than the sum of its proper divisors (20427983031456).

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

6838480512864 is a wasteful number, since it uses less digits than its factorization.

6838480512864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25745 (or 25728 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 6838480512864 in words is "six trillion, eight hundred thirty-eight billion, four hundred eighty million, five hundred twelve thousand, eight hundred sixty-four".