8406108672 has 320 divisors, whose sum is σ = 25243384320. Its totient is φ = 2483699712.

The previous prime is 8406108671. The next prime is 8406108673. The reversal of 8406108672 is 2768016048.

It is an interprime number because it is at equal distance from previous prime (8406108671) and next prime (8406108673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8406108671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158605798 + ... + 158605850.

It is an arithmetic number, because the mean of its divisors is an integer number (78885576).

Almost surely, 2^8406108672 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 8406108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621692160).

8406108672 is an abundant number, since it is smaller than the sum of its proper divisors (16837275648).

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

8406108672 is an equidigital number, since it uses as much as digits as its factorization.

8406108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 8406108672 is about 91684.8333804452. The cubic root of 8406108672 is about 2033.2853586698.

The spelling of 8406108672 in words is "eight billion, four hundred six million, one hundred eight thousand, six hundred seventy-two".