64686336000000 has 3360 divisors, whose sum is σ = 275239276892160. Its totient is φ = 13271040000000.

The previous prime is 64686335999983. The next prime is 64686336000023. The reversal of 64686336000000 is 63368646.

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 223 ways as a sum of consecutive naturals, for example, 2086655999985 + ... + 2086656000015.

It is an arithmetic number, because the mean of its divisors is an integer number (81916451456).

Almost surely, 2^{64686336000000} is an apocalyptic number.

64686336000000 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 64686336000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137619638446080).

64686336000000 is an abundant number, since it is smaller than the sum of its proper divisors (210552940892160).

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

64686336000000 is an equidigital number, since it uses as much as digits as its factorization.

64686336000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 64686336000000 its reverse (63368646), we get a palindrome (64686399368646).

The spelling of 64686336000000 in words is "sixty-four trillion, six hundred eighty-six billion, three hundred thirty-six million", and thus it is an aban number.