66020659634688 has 640 divisors, whose sum is σ = 197492359680000. Its totient is φ = 19429023744000.

The previous prime is 66020659634681. The next prime is 66020659634729. The reversal of 66020659634688 is 88643695602066.

It is a super-2 number, since 2×66020659634688² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66020659634681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47191321413 + ... + 47191322811.

It is an arithmetic number, because the mean of its divisors is an integer number (308581812000).

Almost surely, 2^{66020659634688} 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 66020659634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98746179840000).

66020659634688 is an abundant number, since it is smaller than the sum of its proper divisors (131471700045312).

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

66020659634688 is a wasteful number, since it uses less digits than its factorization.

66020659634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 69.

The spelling of 66020659634688 in words is "sixty-six trillion, twenty billion, six hundred fifty-nine million, six hundred thirty-four thousand, six hundred eighty-eight".