66642064626420 has 36 divisors (see below), whose sum is σ = 202147596034020. Its totient is φ = 17771217233664.

The previous prime is 66642064626407. The next prime is 66642064626539. The reversal of 66642064626420 is 2462646024666.

66642064626420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43072942748004 + 23569121878416 = 6562998^2 + 4854804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 185116846005 + ... + 185116846364.

It is an arithmetic number, because the mean of its divisors is an integer number (5615211000945).

Almost surely, 2^{66642064626420} is an apocalyptic number.

66642064626420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66642064626420 is an abundant number, since it is smaller than the sum of its proper divisors (135505531407600).

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

66642064626420 is a wasteful number, since it uses less digits than its factorization.

66642064626420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370233692384 (or 370233692379 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 66642064626420 in words is "sixty-six trillion, six hundred forty-two billion, sixty-four million, six hundred twenty-six thousand, four hundred twenty".