66801981283200 has 576 divisors, whose sum is σ = 244871788028400. Its totient is φ = 17327824404480.

The previous prime is 66801981283153. The next prime is 66801981283249. The reversal of 66801981283200 is 238218910866.

66801981283200 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 198 + 128 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×66801981283200² (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 71 ways as a sum of consecutive naturals, for example, 6226295436 + ... + 6226306164.

Almost surely, 2^{66801981283200} is an apocalyptic number.

66801981283200 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 66801981283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122435894014200).

66801981283200 is an abundant number, since it is smaller than the sum of its proper divisors (178069806745200).

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

66801981283200 is a wasteful number, since it uses less digits than its factorization.

66801981283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639 (or 16619 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 66801981283200 in words is "sixty-six trillion, eight hundred one billion, nine hundred eighty-one million, two hundred eighty-three thousand, two hundred".