6838176960 has 168 divisors, whose sum is σ = 23551871616. Its totient is φ = 1821081600.

The previous prime is 6838176949. The next prime is 6838176977. The reversal of 6838176960 is 696718386.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6838176897 and 6838176906.

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, 3503985 + ... + 3505935.

It is an arithmetic number, because the mean of its divisors is an integer number (140189712).

Almost surely, 2^6838176960 is an apocalyptic number.

6838176960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775935808).

6838176960 is an abundant number, since it is smaller than the sum of its proper divisors (16713694656).

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

6838176960 is a wasteful number, since it uses less digits than its factorization.

6838176960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6838176960 is about 82693.2703428761. The cubic root of 6838176960 is about 1898.0753326284.

The spelling of 6838176960 in words is "six billion, eight hundred thirty-eight million, one hundred seventy-six thousand, nine hundred sixty".