21670365660736 has 189 divisors, whose sum is σ = 49483439445801. Its totient is φ = 9409796358144.

The previous prime is 21670365660731. The next prime is 21670365660799. The reversal of 21670365660736 is 63706656307612.

It is a happy number.

The square root of 21670365660736 is 4655144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19509889000000 + 2160476660736 = 4417000^2 + 1469856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21670365660731) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 8230293276 + ... + 8230295908.

Almost surely, 2^{21670365660736} is an apocalyptic number.

21670365660736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

21670365660736 is the 4655144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21670365660736

21670365660736 is an abundant number, since it is smaller than the sum of its proper divisors (27813073785065).

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

21670365660736 is an frugal number, since it uses more digits than its factorization.

21670365660736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 58.

The spelling of 21670365660736 in words is "twenty-one trillion, six hundred seventy billion, three hundred sixty-five million, six hundred sixty thousand, seven hundred thirty-six".