66734602444800 has 2016 divisors, whose sum is σ = 256552281603072. Its totient is φ = 17185890631680.

The previous prime is 66734602444787. The next prime is 66734602444817. The reversal of 66734602444800 is 844420643766.

66734602444800 is a `hidden beast` number, since 6 + 67 + 3 + 4 + 60 + 2 + 44 + 480 + 0 = 666.

It is a super-2 number, since 2×66734602444800² (a number of 28 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 240919142262 + ... + 240919142538.

It is an arithmetic number, because the mean of its divisors is an integer number (127258076192).

Almost surely, 2^{66734602444800} is an apocalyptic number.

66734602444800 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 66734602444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128276140801536).

66734602444800 is an abundant number, since it is smaller than the sum of its proper divisors (189817679158272).

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

66734602444800 is a wasteful number, since it uses less digits than its factorization.

66734602444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 66734602444800 in words is "sixty-six trillion, seven hundred thirty-four billion, six hundred two million, four hundred forty-four thousand, eight hundred".