64319440768000 has 704 divisors, whose sum is σ = 184172600416896. Its totient is φ = 22200975360000.

The previous prime is 64319440767997. The next prime is 64319440768001. The reversal of 64319440768000 is 86704491346.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (64319440768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2135920944 + ... + 2135951056.

Almost surely, 2^{64319440768000} 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 64319440768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92086300208448).

64319440768000 is an abundant number, since it is smaller than the sum of its proper divisors (119853159648896).

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

64319440768000 is a wasteful number, since it uses less digits than its factorization.

64319440768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30237 (or 30209 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 64319440768000 in words is "sixty-four trillion, three hundred nineteen billion, four hundred forty million, seven hundred sixty-eight thousand".