6815172672 has 336 divisors, whose sum is σ = 25018910592. Its totient is φ = 1721917440.

The previous prime is 6815172671. The next prime is 6815172673. The reversal of 6815172672 is 2762715186.

6815172672 is a `hidden beast` number, since 68 + 1 + 517 + 2 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (6815172671) and next prime (6815172673).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (6815172671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638948 + ... + 1643100.

Almost surely, 2^6815172672 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 6815172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509455296).

6815172672 is an abundant number, since it is smaller than the sum of its proper divisors (18203737920).

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

6815172672 is a wasteful number, since it uses less digits than its factorization.

6815172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4213 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 6815172672 is about 82554.0590885754. The cubic root of 6815172672 is about 1895.9445051321.

The spelling of 6815172672 in words is "six billion, eight hundred fifteen million, one hundred seventy-two thousand, six hundred seventy-two".