66588658678080 has 4032 divisors, whose sum is σ = 331582355619840. Its totient is φ = 12051254476800.

The previous prime is 66588658678051. The next prime is 66588658678099. The reversal of 66588658678080 is 8087685688566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18815668951 + ... + 18815672489.

Almost surely, 2^{66588658678080} is an apocalyptic number.

66588658678080 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 66588658678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165791177809920).

66588658678080 is an abundant number, since it is smaller than the sum of its proper divisors (264993696941760).

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

66588658678080 is a wasteful number, since it uses less digits than its factorization.

66588658678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 66588658678080 in words is "sixty-six trillion, five hundred eighty-eight billion, six hundred fifty-eight million, six hundred seventy-eight thousand, eighty".