66959481630720 has 624 divisors, whose sum is σ = 249358176321408. Its totient is φ = 15296713850880.

The previous prime is 66959481630637. The next prime is 66959481630749. The reversal of 66959481630720 is 2703618495966.

It is a super-2 number, since 2×66959481630720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6824934615 + ... + 6824944425.

It is a 1-persistent number, because it is pandigital, but 2⋅66959481630720 = 133918963261440 is not.

Almost surely, 2^{66959481630720} is an apocalyptic number.

66959481630720 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 66959481630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679088160704).

66959481630720 is an abundant number, since it is smaller than the sum of its proper divisors (182398694690688).

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

66959481630720 is a wasteful number, since it uses less digits than its factorization.

66959481630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12095 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 66959481630720 in words is "sixty-six trillion, nine hundred fifty-nine billion, four hundred eighty-one million, six hundred thirty thousand, seven hundred twenty".