66086444004608 has 72 divisors (see below), whose sum is σ = 139733359617600. Its totient is φ = 31086381588480.

The previous prime is 66086444004589. The next prime is 66086444004631. The reversal of 66086444004608 is 80640044468066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7116293 + ... + 13520891.

It is an arithmetic number, because the mean of its divisors is an integer number (1940741105800).

Almost surely, 2^{66086444004608} is an apocalyptic number.

66086444004608 is a gapful number since it is divisible by the number (68) 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 66086444004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69866679808800).

66086444004608 is an abundant number, since it is smaller than the sum of its proper divisors (73646915612992).

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

66086444004608 is a wasteful number, since it uses less digits than its factorization.

66086444004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407003 (or 6406989 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 66086444004608 in words is "sixty-six trillion, eighty-six billion, four hundred forty-four million, four thousand, six hundred eight".