8186334720 has 160 divisors (see below), whose sum is σ = 26405086752. Its totient is φ = 2163474432.

The previous prime is 8186334697. The next prime is 8186334727. The reversal of 8186334720 is 274336818.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×8186334720² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8186334727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863124 + ... + 872556.

Almost surely, 2^8186334720 is an apocalyptic number.

8186334720 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 8186334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202543376).

8186334720 is an abundant number, since it is smaller than the sum of its proper divisors (18218752032).

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

8186334720 is a wasteful number, since it uses less digits than its factorization.

8186334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9572 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8186334720 is about 90478.3660329916. The cubic root of 8186334720 is about 2015.4088717868.

The spelling of 8186334720 in words is "eight billion, one hundred eighty-six million, three hundred thirty-four thousand, seven hundred twenty".