64405341012320 has 384 divisors, whose sum is σ = 193333711334400. Its totient is φ = 19690392084480.

The previous prime is 64405341012307. The next prime is 64405341012371. The reversal of 64405341012320 is 2321014350446.

64405341012320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 63 ways as a sum of consecutive naturals, for example, 2970304199 + ... + 2970325881.

It is an arithmetic number, because the mean of its divisors is an integer number (503473206600).

Almost surely, 2^{64405341012320} 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 64405341012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96666855667200).

64405341012320 is an abundant number, since it is smaller than the sum of its proper divisors (128928370322080).

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

64405341012320 is a wasteful number, since it uses less digits than its factorization.

64405341012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26318 (or 26310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 64405341012320 its reverse (2321014350446), we get a palindrome (66726355362766).

The spelling of 64405341012320 in words is "sixty-four trillion, four hundred five billion, three hundred forty-one million, twelve thousand, three hundred twenty".