66785914800 has 480 divisors, whose sum is σ = 264235944960. Its totient is φ = 15883545600.

The previous prime is 66785914739. The next prime is 66785914807. The reversal of 66785914800 is 841958766.

66785914800 is a `hidden beast` number, since 6 + 6 + 7 + 8 + 591 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66785914807) 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 95 ways as a sum of consecutive naturals, for example, 6291097 + ... + 6301703.

It is an arithmetic number, because the mean of its divisors is an integer number (550491552).

Almost surely, 2^66785914800 is an apocalyptic number.

66785914800 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 66785914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132117972480).

66785914800 is an abundant number, since it is smaller than the sum of its proper divisors (197450030160).

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

66785914800 is a wasteful number, since it uses less digits than its factorization.

66785914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10681 counting only the distinct ones).

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

The spelling of 66785914800 in words is "sixty-six billion, seven hundred eighty-five million, nine hundred fourteen thousand, eight hundred".