8164638720 has 576 divisors, whose sum is σ = 33216021540. Its totient is φ = 1849688064.

The previous prime is 8164638719. The next prime is 8164638721. The reversal of 8164638720 is 278364618.

8164638720 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 638 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8164638719) and next prime (8164638721).

It can be written as a sum of positive squares in 2 ways, for example, as 6943555584 + 1221083136 = 83328^2 + 34944^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8164638720² (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 not an unprimeable number, because it can be changed into a prime (8164638721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72253384 + ... + 72253496.

Almost surely, 2^8164638720 is an apocalyptic number.

8164638720 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 8164638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608010770).

8164638720 is an abundant number, since it is smaller than the sum of its proper divisors (25051382820).

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

8164638720 is a wasteful number, since it uses less digits than its factorization.

8164638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 8164638720 is about 90358.3904239114. The cubic root of 8164638720 is about 2013.6268371236.

The spelling of 8164638720 in words is "eight billion, one hundred sixty-four million, six hundred thirty-eight thousand, seven hundred twenty".