64381609600 has 576 divisors, whose sum is σ = 203952794400. Its totient is φ = 19856793600.

The previous prime is 64381609571. The next prime is 64381609631. The reversal of 64381609600 is 690618346.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281142286 + ... + 281142514.

Almost surely, 2^64381609600 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 64381609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101976397200).

64381609600 is an abundant number, since it is smaller than the sum of its proper divisors (139571184800).

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

64381609600 is a wasteful number, since it uses less digits than its factorization.

64381609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 64381609600 in words is "sixty-four billion, three hundred eighty-one million, six hundred nine thousand, six hundred".