66677818982400 has 1224 divisors, whose sum is σ = 248916569101200. Its totient is φ = 17693587537920.

The previous prime is 66677818982387. The next prime is 66677818982429. The reversal of 66677818982400 is 428981877666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 148502937376 + ... + 148502937824.

It is an arithmetic number, because the mean of its divisors is an integer number (203363210050).

Almost surely, 2^{66677818982400} is an apocalyptic number.

66677818982400 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 66677818982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124458284550600).

66677818982400 is an abundant number, since it is smaller than the sum of its proper divisors (182238750118800).

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

66677818982400 is an frugal number, since it uses more digits than its factorization.

66677818982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 66677818982400 in words is "sixty-six trillion, six hundred seventy-seven billion, eight hundred eighteen million, nine hundred eighty-two thousand, four hundred".