66336057312120 has 1280 divisors, whose sum is σ = 257040743731200. Its totient is φ = 15232997376000.

The previous prime is 66336057312113. The next prime is 66336057312149. The reversal of 66336057312120 is 2121375063366.

It is a happy number.

66336057312120 is a `hidden beast` number, since 6 + 6 + 3 + 3 + 60 + 573 + 1 + 2 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18524448730 + ... + 18524452310.

It is an arithmetic number, because the mean of its divisors is an integer number (200813081040).

Almost surely, 2^{66336057312120} is an apocalyptic number.

66336057312120 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 66336057312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520371865600).

66336057312120 is an abundant number, since it is smaller than the sum of its proper divisors (190704686419080).

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

66336057312120 is a wasteful number, since it uses less digits than its factorization.

66336057312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 66336057312120 in words is "sixty-six trillion, three hundred thirty-six billion, fifty-seven million, three hundred twelve thousand, one hundred twenty".