66961833120 has 576 divisors, whose sum is σ = 297793117440. Its totient is φ = 13296697344.

The previous prime is 66961833067. The next prime is 66961833121. The reversal of 66961833120 is 2133816966.

66961833120 is a `hidden beast` number, since 6 + 6 + 9 + 618 + 3 + 3 + 1 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66961833121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2212651 + ... + 2242709.

It is an arithmetic number, because the mean of its divisors is an integer number (517001940).

Almost surely, 2^66961833120 is an apocalyptic number.

66961833120 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 66961833120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148896558720).

66961833120 is an abundant number, since it is smaller than the sum of its proper divisors (230831284320).

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

66961833120 is a wasteful number, since it uses less digits than its factorization.

66961833120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30117 (or 30106 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 66961833120 in words is "sixty-six billion, nine hundred sixty-one million, eight hundred thirty-three thousand, one hundred twenty".