8666649600 has 660 divisors, whose sum is σ = 34126666944. Its totient is φ = 1938800640.

The previous prime is 8666649559. The next prime is 8666649611. The reversal of 8666649600 is 69466668.

It is a super-2 number, since 2×8666649600² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 184396777 + ... + 184396823.

Almost surely, 2^8666649600 is an apocalyptic number.

8666649600 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 8666649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063333472).

8666649600 is an abundant number, since it is smaller than the sum of its proper divisors (25460017344).

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

8666649600 is an equidigital number, since it uses as much as digits as its factorization.

8666649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The square root of 8666649600 is about 93094.8419623773. The cubic root of 8666649600 is about 2054.0787009296.

The spelling of 8666649600 in words is "eight billion, six hundred sixty-six million, six hundred forty-nine thousand, six hundred".