8411643360 has 144 divisors (see below), whose sum is σ = 28968619680. Its totient is φ = 2222484480.

The previous prime is 8411643337. The next prime is 8411643377. The reversal of 8411643360 is 633461148.

It is a happy number.

8411643360 is a `hidden beast` number, since 8 + 4 + 1 + 1 + 643 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×8411643360⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130165 + ... + 183755.

It is an arithmetic number, because the mean of its divisors is an integer number (201170970).

Almost surely, 2^8411643360 is an apocalyptic number.

8411643360 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 8411643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484309840).

8411643360 is an abundant number, since it is smaller than the sum of its proper divisors (20556976320).

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

8411643360 is a wasteful number, since it uses less digits than its factorization.

8411643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53721 (or 53710 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8411643360 is about 91715.0116393167. The cubic root of 8411643360 is about 2033.7315076780.

The spelling of 8411643360 in words is "eight billion, four hundred eleven million, six hundred forty-three thousand, three hundred sixty".