8164636704 has 168 divisors, whose sum is σ = 27543600000. Its totient is φ = 2332706688.

The previous prime is 8164636691. The next prime is 8164636717. The reversal of 8164636704 is 4076364618.

It is a happy number.

8164636704 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 636 + 7 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8164636691) and next prime (8164636717).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×8164636704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8164636704.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 138297 + ... + 188295.

It is an arithmetic number, because the mean of its divisors is an integer number (163950000).

Almost surely, 2^8164636704 is an apocalyptic number.

8164636704 is a gapful number since it is divisible by the number (84) 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 8164636704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13771800000).

8164636704 is an abundant number, since it is smaller than the sum of its proper divisors (19378963296).

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

8164636704 is an equidigital number, since it uses as much as digits as its factorization.

8164636704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50034 (or 50011 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 8164636704 is about 90358.3792683335. The cubic root of 8164636704 is about 2013.6266713897.

The spelling of 8164636704 in words is "eight billion, one hundred sixty-four million, six hundred thirty-six thousand, seven hundred four".