64041317760 has 1024 divisors, whose sum is σ = 258997616640. Its totient is φ = 13138329600.

The previous prime is 64041317741. The next prime is 64041317773. The reversal of 64041317760 is 6771314046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 392891439 + ... + 392891601.

It is an arithmetic number, because the mean of its divisors is an integer number (252927360).

Almost surely, 2^64041317760 is an apocalyptic number.

64041317760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64041317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129498808320).

64041317760 is an abundant number, since it is smaller than the sum of its proper divisors (194956298880).

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

64041317760 is a wasteful number, since it uses less digits than its factorization.

64041317760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 64041317760 in words is "sixty-four billion, forty-one million, three hundred seventeen thousand, seven hundred sixty".