66496936900 has 81 divisors (see below), whose sum is σ = 146266443687. Its totient is φ = 26240851200.

The previous prime is 66496936861. The next prime is 66496936903. The reversal of 66496936900 is 963969466.

The square root of 66496936900 is 257870.

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 989605764 + 65507331136 = 31458^2 + 255944^2 .

It is a super-2 number, since 2×66496936900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66496936903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275920780 + ... + 275921020.

Almost surely, 2^66496936900 is an apocalyptic number.

66496936900 is the 257870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66496936900

66496936900 is an abundant number, since it is smaller than the sum of its proper divisors (79769506787).

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

66496936900 is a wasteful number, since it uses less digits than its factorization.

66496936900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 58.

The spelling of 66496936900 in words is "sixty-six billion, four hundred ninety-six million, nine hundred thirty-six thousand, nine hundred".