8646800000 has 96 divisors (see below), whose sum is σ = 21532176540. Its totient is φ = 3458560000.

The previous prime is 8646799991. The next prime is 8646800033. The reversal of 8646800000 is 86468.

It can be written as a sum of positive squares in 6 ways, for example, as 2204490304 + 6442309696 = 46952^2 + 80264^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8646800000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389192 + ... + 410808.

Almost surely, 2^8646800000 is an apocalyptic number.

8646800000 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 8646800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10766088270).

8646800000 is an abundant number, since it is smaller than the sum of its proper divisors (12885376540).

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

8646800000 is an frugal number, since it uses more digits than its factorization.

8646800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21656 (or 21624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 8646800000 is about 92988.1712907615. The cubic root of 8646800000 is about 2052.5093206073.

Adding to 8646800000 its reverse (86468), we get a palindrome (8646886468).

8646800000 divided by its reverse (86468) gives a 5-th power (100000 = 10⁵).

The spelling of 8646800000 in words is "eight billion, six hundred forty-six million, eight hundred thousand".