6838457616 has 80 divisors (see below), whose sum is σ = 19746652800. Its totient is φ = 2265812352.

The previous prime is 6838457603. The next prime is 6838457629. The reversal of 6838457616 is 6167548386.

6838457616 is a `hidden beast` number, since 68 + 3 + 8 + 4 + 576 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6838457603) and next prime (6838457629).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24750 + ... + 119538.

It is an arithmetic number, because the mean of its divisors is an integer number (246833160).

Almost surely, 2^6838457616 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 6838457616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873326400).

6838457616 is an abundant number, since it is smaller than the sum of its proper divisors (12908195184).

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

6838457616 is a wasteful number, since it uses less digits than its factorization.

6838457616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94973 (or 94961 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6838457616 is about 82694.9672954769. The cubic root of 6838457616 is about 1898.1012995368.

The spelling of 6838457616 in words is "six billion, eight hundred thirty-eight million, four hundred fifty-seven thousand, six hundred sixteen".