64571105664 has 320 divisors, whose sum is σ = 211368104640. Its totient is φ = 19443400704.

The previous prime is 64571105663. The next prime is 64571105713. The reversal of 64571105664 is 46650117546.

64571105664 is a `hidden beast` number, since 6 + 4 + 5 + 71 + 10 + 566 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64571105663) 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, 6329752 + ... + 6339944.

It is an arithmetic number, because the mean of its divisors is an integer number (660525327).

Almost surely, 2^64571105664 is an apocalyptic number.

64571105664 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 64571105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105684052320).

64571105664 is an abundant number, since it is smaller than the sum of its proper divisors (146796998976).

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

64571105664 is a wasteful number, since it uses less digits than its factorization.

64571105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 64571105664 in words is "sixty-four billion, five hundred seventy-one million, one hundred five thousand, six hundred sixty-four".