64041803389760 has 448 divisors, whose sum is σ = 196032100492800. Its totient is φ = 19398289784832.

The previous prime is 64041803389723. The next prime is 64041803389771. The reversal of 64041803389760 is 6798330814046.

64041803389760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 64041803389760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78457652 + ... + 79269708.

Almost surely, 2^{64041803389760} 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 64041803389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98016050246400).

64041803389760 is an abundant number, since it is smaller than the sum of its proper divisors (131990297103040).

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

64041803389760 is a wasteful number, since it uses less digits than its factorization.

64041803389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812226 (or 812216 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 64041803389760 in words is "sixty-four trillion, forty-one billion, eight hundred three million, three hundred eighty-nine thousand, seven hundred sixty".