6838509120 has 56 divisors (see below), whose sum is σ = 21712269504. Its totient is φ = 1823602176.

The previous prime is 6838509113. The next prime is 6838509133. The reversal of 6838509120 is 219058386.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3560764 + ... + 3562683.

Almost surely, 2^6838509120 is an apocalyptic number.

6838509120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6838509120 is an abundant number, since it is smaller than the sum of its proper divisors (14873760384).

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

6838509120 is a wasteful number, since it uses less digits than its factorization.

6838509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123467 (or 7123457 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 6838509120 is about 82695.2787044097. The cubic root of 6838509120 is about 1898.1060647226.

The spelling of 6838509120 in words is "six billion, eight hundred thirty-eight million, five hundred nine thousand, one hundred twenty".