66465996100 has 243 divisors, whose sum is σ = 175143147543. Its totient is φ = 21829288320.

The previous prime is 66465996097. The next prime is 66465996119. The reversal of 66465996100 is 169956466.

The square root of 66465996100 is 257810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 913611076 + 65552385024 = 30226^2 + 256032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 523354237 + ... + 523354363.

Almost surely, 2^66465996100 is an apocalyptic number.

66465996100 is the 257810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66465996100

66465996100 is an abundant number, since it is smaller than the sum of its proper divisors (108677151443).

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

66465996100 is a wasteful number, since it uses less digits than its factorization.

66465996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 66465996100 in words is "sixty-six billion, four hundred sixty-five million, nine hundred ninety-six thousand, one hundred".