66473846841600 has 1296 divisors, whose sum is σ = 281212575868224. Its totient is φ = 14796914688000.

The previous prime is 66473846841593. The next prime is 66473846841653. The reversal of 66473846841600 is 614864837466.

It is a happy number.

66473846841600 is a `hidden beast` number, since 6 + 6 + 4 + 7 + 3 + 8 + 468 + 4 + 160 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 143 ways as a sum of consecutive naturals, for example, 441543939 + ... + 441694461.

It is an arithmetic number, because the mean of its divisors is an integer number (216985012244).

Almost surely, 2^{66473846841600} is an apocalyptic number.

66473846841600 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 66473846841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140606287934112).

66473846841600 is an abundant number, since it is smaller than the sum of its proper divisors (214738729026624).

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

66473846841600 is a wasteful number, since it uses less digits than its factorization.

66473846841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150624 (or 150602 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 66473846841600 in words is "sixty-six trillion, four hundred seventy-three billion, eight hundred forty-six million, eight hundred forty-one thousand, six hundred".