6578216064 has 320 divisors, whose sum is σ = 22525631040. Its totient is φ = 1874451456.

The previous prime is 6578216063. The next prime is 6578216083. The reversal of 6578216064 is 4606128756.

6578216064 is a `hidden beast` number, since 6 + 578 + 2 + 16 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (6578216063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17635782 + ... + 17636154.

It is an arithmetic number, because the mean of its divisors is an integer number (70392597).

Almost surely, 2^6578216064 is an apocalyptic number.

6578216064 is a gapful number since it is divisible by the number (64) 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 6578216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262815520).

6578216064 is an abundant number, since it is smaller than the sum of its proper divisors (15947414976).

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

6578216064 is an frugal number, since it uses more digits than its factorization.

6578216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6578216064 is about 81106.2023768836. The cubic root of 6578216064 is about 1873.7114526005.

The spelling of 6578216064 in words is "six billion, five hundred seventy-eight million, two hundred sixteen thousand, sixty-four".