66968964241920 has 2240 divisors, whose sum is σ = 275876378094240. Its totient is φ = 15438062813184.

The previous prime is 66968964241901. The next prime is 66968964241951. The reversal of 66968964241920 is 2914246986966.

66968964241920 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 8 + 9 + 6 + 424 + 192 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21651079037184 + 45317885204736 = 4653072^2 + 6731856^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 163738298676 + ... + 163738299084.

Almost surely, 2^{66968964241920} is an apocalyptic number.

66968964241920 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 66968964241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137938189047120).

66968964241920 is an abundant number, since it is smaller than the sum of its proper divisors (208907413852320).

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

66968964241920 is a wasteful number, since it uses less digits than its factorization.

66968964241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 66968964241920 in words is "sixty-six trillion, nine hundred sixty-eight billion, nine hundred sixty-four million, two hundred forty-one thousand, nine hundred twenty".