8580942866664 has 48 divisors (see below), whose sum is σ = 26560061255520. Its totient is φ = 2451697961760.

The previous prime is 8580942866659. The next prime is 8580942866669. The reversal of 8580942866664 is 4666682490858.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8580942866659) and next prime (8580942866669).

It is a super-3 number, since 3×8580942866664³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8580942866592 and 8580942866601.

It is not an unprimeable number, because it can be changed into a prime (8580942866669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8512839642 + ... + 8512840649.

It is an arithmetic number, because the mean of its divisors is an integer number (553334609490).

Almost surely, 2^{8580942866664} is an apocalyptic number.

8580942866664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8580942866664 is an abundant number, since it is smaller than the sum of its proper divisors (17979118388856).

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

8580942866664 is a wasteful number, since it uses less digits than its factorization.

8580942866664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025680310 (or 17025680303 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 8580942866664 in words is "eight trillion, five hundred eighty billion, nine hundred forty-two million, eight hundred sixty-six thousand, six hundred sixty-four".