8371776672 has 288 divisors, whose sum is σ = 28396053504. Its totient is φ = 2289254400.

The previous prime is 8371776671. The next prime is 8371776709. The reversal of 8371776672 is 2766771738.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8371776671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6061422 + ... + 6062802.

It is an arithmetic number, because the mean of its divisors is an integer number (98597408).

Almost surely, 2^8371776672 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 8371776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198026752).

8371776672 is an abundant number, since it is smaller than the sum of its proper divisors (20024276832).

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

8371776672 is a wasteful number, since it uses less digits than its factorization.

8371776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 8371776672 is about 91497.4134716386. The cubic root of 8371776672 is about 2030.5134854143.

The spelling of 8371776672 in words is "eight billion, three hundred seventy-one million, seven hundred seventy-six thousand, six hundred seventy-two".