64825982208 has 360 divisors, whose sum is σ = 210317899176. Its totient is φ = 19740672000.

The previous prime is 64825982203. The next prime is 64825982209. The reversal of 64825982208 is 80228952846.

It is a happy number.

64825982208 is a `hidden beast` number, since 6 + 48 + 2 + 598 + 2 + 2 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812934144 + 64013048064 = 28512^2 + 253008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64825982203) 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, 27225178 + ... + 27227558.

Almost surely, 2^64825982208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64825982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105158949588).

64825982208 is an abundant number, since it is smaller than the sum of its proper divisors (145491916968).

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

64825982208 is a wasteful number, since it uses less digits than its factorization.

64825982208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 64825982208 in words is "sixty-four billion, eight hundred twenty-five million, nine hundred eighty-two thousand, two hundred eight".