6830006976 has 168 divisors, whose sum is σ = 21598091424. Its totient is φ = 2050191360.

The previous prime is 6830006927. The next prime is 6830006993. The reversal of 6830006976 is 6796000386.

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, 295885 + ... + 318131.

It is an arithmetic number, because the mean of its divisors is an integer number (128560068).

Almost surely, 2^6830006976 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 6830006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799045712).

6830006976 is an abundant number, since it is smaller than the sum of its proper divisors (14768084448).

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

6830006976 is a wasteful number, since it uses less digits than its factorization.

6830006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22319 (or 22306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6830006976 is about 82643.8562507825. The cubic root of 6830006976 is about 1897.3191162126.

The spelling of 6830006976 in words is "six billion, eight hundred thirty million, six thousand, nine hundred seventy-six".