66975148800 has 648 divisors, whose sum is σ = 280095239424. Its totient is φ = 14948720640.

The previous prime is 66975148783. The next prime is 66975148819. The reversal of 66975148800 is 884157966.

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, 17335669 + ... + 17339531.

Almost surely, 2^66975148800 is an apocalyptic number.

66975148800 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 66975148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140047619712).

66975148800 is an abundant number, since it is smaller than the sum of its proper divisors (213120090624).

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

66975148800 is a wasteful number, since it uses less digits than its factorization.

66975148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 66975148800 in words is "sixty-six billion, nine hundred seventy-five million, one hundred forty-eight thousand, eight hundred".