5641208064 has 432 divisors, whose sum is σ = 18079588800. Its totient is φ = 1751113728.

The previous prime is 5641208057. The next prime is 5641208087. The reversal of 5641208064 is 4608021465.

5641208064 is a `hidden beast` number, since 5 + 641 + 2 + 0 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95613667 + ... + 95613725.

It is an arithmetic number, because the mean of its divisors is an integer number (41850900).

Almost surely, 2^5641208064 is an apocalyptic number.

5641208064 is a gapful number since it is divisible by the number (54) 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 5641208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039794400).

5641208064 is an abundant number, since it is smaller than the sum of its proper divisors (12438380736).

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

5641208064 is an equidigital number, since it uses as much as digits as its factorization.

5641208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5641208064 is about 75107.9760345065. The cubic root of 5641208064 is about 1780.1531728643.

The spelling of 5641208064 in words is "five billion, six hundred forty-one million, two hundred eight thousand, sixty-four".