6853551672 has 256 divisors, whose sum is σ = 20304691200. Its totient is φ = 1907136000.

The previous prime is 6853551631. The next prime is 6853551713. The reversal of 6853551672 is 2761553586.

It is an interprime number because it is at equal distance from previous prime (6853551631) and next prime (6853551713).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15901297 + ... + 15901727.

It is an arithmetic number, because the mean of its divisors is an integer number (79315200).

Almost surely, 2^6853551672 is an apocalyptic number.

6853551672 is a gapful number since it is divisible by the number (62) 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 6853551672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152345600).

6853551672 is an abundant number, since it is smaller than the sum of its proper divisors (13451139528).

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

6853551672 is a wasteful number, since it uses less digits than its factorization.

6853551672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 6853551672 is about 82786.1804409407. The cubic root of 6853551672 is about 1899.4967893599.

The spelling of 6853551672 in words is "six billion, eight hundred fifty-three million, five hundred fifty-one thousand, six hundred seventy-two".