66245642100 has 144 divisors (see below), whose sum is σ = 232328255040. Its totient is φ = 16059542400.

The previous prime is 66245642053. The next prime is 66245642101. The reversal of 66245642100 is 124654266.

66245642100 is a `hidden beast` number, since 6 + 6 + 2 + 4 + 5 + 642 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66245642101) 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 47 ways as a sum of consecutive naturals, for example, 1085547 + ... + 1144946.

It is an arithmetic number, because the mean of its divisors is an integer number (1613390660).

Almost surely, 2^66245642100 is an apocalyptic number.

66245642100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66245642100 is an abundant number, since it is smaller than the sum of its proper divisors (166082612940).

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

66245642100 is a wasteful number, since it uses less digits than its factorization.

66245642100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230527 (or 2230514 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66245642100 in words is "sixty-six billion, two hundred forty-five million, six hundred forty-two thousand, one hundred".