6830095272 has 512 divisors, whose sum is σ = 24524881920. Its totient is φ = 1527229440.

The previous prime is 6830095267. The next prime is 6830095291. The reversal of 6830095272 is 2725900386.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25969813 + ... + 25970075.

It is an arithmetic number, because the mean of its divisors is an integer number (47900160).

Almost surely, 2^6830095272 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 6830095272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262440960).

6830095272 is an abundant number, since it is smaller than the sum of its proper divisors (17694786648).

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

6830095272 is a wasteful number, since it uses less digits than its factorization.

6830095272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6830095272 is about 82644.3904448451. The cubic root of 6830095272 is about 1897.3272921421.

The spelling of 6830095272 in words is "six billion, eight hundred thirty million, ninety-five thousand, two hundred seventy-two".