66753605558016 has 756 divisors, whose sum is σ = 222178559358168. Its totient is φ = 19984098041856.

The previous prime is 66753605557999. The next prime is 66753605558021. The reversal of 66753605558016 is 61085550635766.

It is a happy number.

66753605558016 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 3 + 60 + 5 + 558 + 0 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166931271 + ... + 1166988473.

It is an arithmetic number, because the mean of its divisors is an integer number (293886983278).

Almost surely, 2^{66753605558016} 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 66753605558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111089279679084).

66753605558016 is an abundant number, since it is smaller than the sum of its proper divisors (155424953800152).

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

66753605558016 is an equidigital number, since it uses as much as digits as its factorization.

66753605558016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57300 (or 57258 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 66753605558016 in words is "sixty-six trillion, seven hundred fifty-three billion, six hundred five million, five hundred fifty-eight thousand, sixteen".