66943070251200 has 2016 divisors, whose sum is σ = 289793864505600. Its totient is φ = 14432366592000.

The previous prime is 66943070251177. The next prime is 66943070251231. The reversal of 66943070251200 is 215207034966.

66943070251200 is a `hidden beast` number, since 6 + 6 + 9 + 430 + 7 + 0 + 2 + 5 + 1 + 200 = 666.

It is a super-2 number, since 2×66943070251200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36964698295 + ... + 36964700105.

It is an arithmetic number, because the mean of its divisors is an integer number (143746956600).

Almost surely, 2^{66943070251200} is an apocalyptic number.

66943070251200 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 66943070251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144896932252800).

66943070251200 is an abundant number, since it is smaller than the sum of its proper divisors (222850794254400).

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

66943070251200 is a wasteful number, since it uses less digits than its factorization.

66943070251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 66943070251200 in words is "sixty-six trillion, nine hundred forty-three billion, seventy million, two hundred fifty-one thousand, two hundred".