66825461610 has 48 divisors (see below), whose sum is σ = 173796260040. Its totient is φ = 17814988800.

The previous prime is 66825461597. The next prime is 66825461611. The reversal of 66825461610 is 1616452866.

66825461610 is a `hidden beast` number, since 6 + 6 + 8 + 25 + 4 + 6 + 1 + 610 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39110204169 + 27715257441 = 197763^2 + 166479^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66825461611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212410 + ... + 422810.

Almost surely, 2^66825461610 is an apocalyptic number.

66825461610 is an abundant number, since it is smaller than the sum of its proper divisors (106970798430).

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

66825461610 is a wasteful number, since it uses less digits than its factorization.

66825461610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213943 (or 213940 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66825461610 in words is "sixty-six billion, eight hundred twenty-five million, four hundred sixty-one thousand, six hundred ten".