8646420000 has 240 divisors, whose sum is σ = 28907746560. Its totient is φ = 2261376000.

The previous prime is 8646419993. The next prime is 8646420017. The reversal of 8646420000 is 246468.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8646420000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3178641 + ... + 3181359.

It is an arithmetic number, because the mean of its divisors is an integer number (120448944).

Almost surely, 2^8646420000 is an apocalyptic number.

8646420000 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 8646420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453873280).

8646420000 is an abundant number, since it is smaller than the sum of its proper divisors (20261326560).

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

8646420000 is a wasteful number, since it uses less digits than its factorization.

8646420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8646420000 is about 92986.1279976750. The cubic root of 8646420000 is about 2052.4792530306.

Adding to 8646420000 its reverse (246468), we get a palindrome (8646666468).

The spelling of 8646420000 in words is "eight billion, six hundred forty-six million, four hundred twenty thousand".