66670005657600 has 1848 divisors, whose sum is σ = 256407860805300. Its totient is φ = 17182068572160.

The previous prime is 66670005657581. The next prime is 66670005657601. The reversal of 66670005657600 is 675650007666.

It can be written as a sum of positive squares in 6 ways, for example, as 24612394143744 + 42057611513856 = 4961088^2 + 6485184^2 .

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 (66670005657601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 447449702326 + ... + 447449702474.

Almost surely, 2^{66670005657600} is an apocalyptic number.

66670005657600 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 66670005657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128203930402650).

66670005657600 is an abundant number, since it is smaller than the sum of its proper divisors (189737855147700).

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

66670005657600 is an frugal number, since it uses more digits than its factorization.

66670005657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 66670005657600 in words is "sixty-six trillion, six hundred seventy billion, five million, six hundred fifty-seven thousand, six hundred".