8642906800 has 60 divisors (see below), whose sum is σ = 22652284536. Its totient is φ = 3142873600.

The previous prime is 8642906791. The next prime is 8642906809. The reversal of 8642906800 is 86092468.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8642906791) and next prime (8642906809).

It is not an unprimeable number, because it can be changed into a prime (8642906809) 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 11 ways as a sum of consecutive naturals, for example, 977749 + ... + 986548.

Almost surely, 2^8642906800 is an apocalyptic number.

8642906800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8642906800 is an abundant number, since it is smaller than the sum of its proper divisors (14009377736).

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

8642906800 is a wasteful number, since it uses less digits than its factorization.

8642906800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964326 (or 1964315 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 8642906800 is about 92967.2350884977. The cubic root of 8642906800 is about 2052.2012286399.

The spelling of 8642906800 in words is "eight billion, six hundred forty-two million, nine hundred six thousand, eight hundred".