66981751200 has 1440 divisors, whose sum is σ = 309770423424. Its totient is φ = 13705666560.

The previous prime is 66981751189. The next prime is 66981751201. The reversal of 66981751200 is 215718966.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (66981751201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 218181447 + ... + 218181753.

Almost surely, 2^66981751200 is an apocalyptic number.

66981751200 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 66981751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154885211712).

66981751200 is an abundant number, since it is smaller than the sum of its proper divisors (242788672224).

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

66981751200 is a wasteful number, since it uses less digits than its factorization.

66981751200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 66981751200 in words is "sixty-six billion, nine hundred eighty-one million, seven hundred fifty-one thousand, two hundred".