8666802144 has 576 divisors, whose sum is σ = 34234583040. Its totient is φ = 2075673600.

The previous prime is 8666802107. The next prime is 8666802161. The reversal of 8666802144 is 4412086668.

It is a super-2 number, since 2×8666802144² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8666802144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9513049 + ... + 9513959.

It is an arithmetic number, because the mean of its divisors is an integer number (59435040).

Almost surely, 2^8666802144 is an apocalyptic number.

8666802144 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 8666802144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117291520).

8666802144 is an abundant number, since it is smaller than the sum of its proper divisors (25567780896).

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

8666802144 is a wasteful number, since it uses less digits than its factorization.

8666802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8666802144 is about 93095.6612522839. The cubic root of 8666802144 is about 2054.0907523204.

The spelling of 8666802144 in words is "eight billion, six hundred sixty-six million, eight hundred two thousand, one hundred forty-four".