8458212672 has 672 divisors, whose sum is σ = 32516064000. Its totient is φ = 2099146752.

The previous prime is 8458212649. The next prime is 8458212673. The reversal of 8458212672 is 2762128548.

8458212672 is a `hidden beast` number, since 8 + 4 + 582 + 1 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8458212673) 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 95 ways as a sum of consecutive naturals, for example, 56766454 + ... + 56766602.

It is an arithmetic number, because the mean of its divisors is an integer number (48387000).

Almost surely, 2^8458212672 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 8458212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258032000).

8458212672 is an abundant number, since it is smaller than the sum of its proper divisors (24057851328).

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

8458212672 is a wasteful number, since it uses less digits than its factorization.

8458212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 8458212672 is about 91968.5417520578. The cubic root of 8458212672 is about 2037.4777131415.

The spelling of 8458212672 in words is "eight billion, four hundred fifty-eight million, two hundred twelve thousand, six hundred seventy-two".