66195936900 has 54 divisors (see below), whose sum is σ = 207487489482. Its totient is φ = 17652249600.

The previous prime is 66195936827. The next prime is 66195936907. The reversal of 66195936900 is 963959166.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5727159684 + 60468777216 = 75678^2 + 245904^2 .

It is a super-2 number, since 2×66195936900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66195936907) 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 17 ways as a sum of consecutive naturals, for example, 36774621 + ... + 36776420.

Almost surely, 2^66195936900 is an apocalyptic number.

66195936900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66195936900 is an abundant number, since it is smaller than the sum of its proper divisors (141291552582).

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

66195936900 is a wasteful number, since it uses less digits than its factorization.

66195936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73551061 (or 73551051 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 66195936900 in words is "sixty-six billion, one hundred ninety-five million, nine hundred thirty-six thousand, nine hundred".