8141886720 has 720 divisors, whose sum is σ = 32587410240. Its totient is φ = 1940336640.

The previous prime is 8141886719. The next prime is 8141886737. The reversal of 8141886720 is 276881418.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×8141886720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137998051 + ... + 137998109.

It is an arithmetic number, because the mean of its divisors is an integer number (45260292).

Almost surely, 2^8141886720 is an apocalyptic number.

8141886720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16293705120).

8141886720 is an abundant number, since it is smaller than the sum of its proper divisors (24445523520).

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

8141886720 is an equidigital number, since it uses as much as digits as its factorization.

8141886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8141886720 is about 90232.4039356151. The cubic root of 8141886720 is about 2011.7546718309.

The spelling of 8141886720 in words is "eight billion, one hundred forty-one million, eight hundred eighty-six thousand, seven hundred twenty".