6875454672 has 120 divisors (see below), whose sum is σ = 19521252296. Its totient is φ = 2258731008.

The previous prime is 6875454617. The next prime is 6875454673. The reversal of 6875454672 is 2764545786.

It is a happy number.

6875454672 is a `hidden beast` number, since 68 + 75 + 454 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250145856 + 6625308816 = 15816^2 + 81396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6875454673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3868248 + ... + 3870024.

Almost surely, 2^6875454672 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 6875454672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760626148).

6875454672 is an abundant number, since it is smaller than the sum of its proper divisors (12645797624).

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

6875454672 is a wasteful number, since it uses less digits than its factorization.

6875454672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2156 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 6875454672 is about 82918.3614888765. The cubic root of 6875454672 is about 1901.5181469355.

The spelling of 6875454672 in words is "six billion, eight hundred seventy-five million, four hundred fifty-four thousand, six hundred seventy-two".