6806290176 has 216 divisors, whose sum is σ = 22499043840. Its totient is φ = 1938475008.

The previous prime is 6806290171. The next prime is 6806290189. The reversal of 6806290176 is 6710926086.

6806290176 is a `hidden beast` number, since 6 + 8 + 0 + 629 + 0 + 17 + 6 = 666.

It is a super-2 number, since 2×6806290176² = 92651171919828221952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806290171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8111965 + ... + 8112803.

It is an arithmetic number, because the mean of its divisors is an integer number (104162240).

Almost surely, 2^6806290176 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 6806290176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249521920).

6806290176 is an abundant number, since it is smaller than the sum of its proper divisors (15692753664).

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

6806290176 is a wasteful number, since it uses less digits than its factorization.

6806290176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6806290176 is about 82500.2434905498. The cubic root of 6806290176 is about 1895.1204594330.

The spelling of 6806290176 in words is "six billion, eight hundred six million, two hundred ninety thousand, one hundred seventy-six".