8251824672 has 192 divisors, whose sum is σ = 29622216960. Its totient is φ = 2176284672.

The previous prime is 8251824631. The next prime is 8251824703. The reversal of 8251824672 is 2764281528.

8251824672 is a `hidden beast` number, since 8 + 2 + 5 + 182 + 467 + 2 = 666.

It is a super-2 number, since 2×8251824672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26148 + ... + 131100.

It is an arithmetic number, because the mean of its divisors is an integer number (154282380).

Almost surely, 2^8251824672 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 8251824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811108480).

8251824672 is an abundant number, since it is smaller than the sum of its proper divisors (21370392288).

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

8251824672 is a wasteful number, since it uses less digits than its factorization.

8251824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104992 (or 104978 counting only the distinct ones).

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

The square root of 8251824672 is about 90839.5545563715. The cubic root of 8251824672 is about 2020.7689677644.

The spelling of 8251824672 in words is "eight billion, two hundred fifty-one million, eight hundred twenty-four thousand, six hundred seventy-two".