66473637600 has 576 divisors, whose sum is σ = 233400061440. Its totient is φ = 16398950400.

The previous prime is 66473637589. The next prime is 66473637617. The reversal of 66473637600 is 673637466.

It is a super-2 number, since 2×66473637600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66473637600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213741445 + ... + 213741755.

It is an arithmetic number, because the mean of its divisors is an integer number (405208440).

Almost surely, 2^66473637600 is an apocalyptic number.

66473637600 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 66473637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700030720).

66473637600 is an abundant number, since it is smaller than the sum of its proper divisors (166926423840).

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

66473637600 is a wasteful number, since it uses less digits than its factorization.

66473637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 48.

The spelling of 66473637600 in words is "sixty-six billion, four hundred seventy-three million, six hundred thirty-seven thousand, six hundred".