8669142720 has 336 divisors, whose sum is σ = 35577658080. Its totient is φ = 1981421568.

The previous prime is 8669142719. The next prime is 8669142721. The reversal of 8669142720 is 272419668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8669142719) and next prime (8669142721).

It is a tau number, because it is divible by the number of its divisors (336).

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 (8669142721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413122 + ... + 433598.

Almost surely, 2^8669142720 is an apocalyptic number.

8669142720 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 8669142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17788829040).

8669142720 is an abundant number, since it is smaller than the sum of its proper divisors (26908515360).

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

8669142720 is a wasteful number, since it uses less digits than its factorization.

8669142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8669142720 is about 93108.2312150757. The cubic root of 8669142720 is about 2054.2756464602.

The spelling of 8669142720 in words is "eight billion, six hundred sixty-nine million, one hundred forty-two thousand, seven hundred twenty".