20007444067677 has 80 divisors (see below), whose sum is σ = 34325379316800. Its totient is φ = 11485982165760.

The previous prime is 20007444067643. The next prime is 20007444067697. The reversal of 20007444067677 is 77676044470002.

It is a happy number.

20007444067677 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 74 + 440 + 67 + 6 + 77 = 666.

It is not a de Polignac number, because 20007444067677 - 2⁸ = 20007444067421 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007444067697) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 132258399 + ... + 132409587.

It is an arithmetic number, because the mean of its divisors is an integer number (429067241460).

Almost surely, 2^{20007444067677} is an apocalyptic number.

20007444067677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

20007444067677 is a deficient number, since it is larger than the sum of its proper divisors (14317935249123).

20007444067677 is a wasteful number, since it uses less digits than its factorization.

20007444067677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159048 (or 159039 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 54.

The spelling of 20007444067677 in words is "twenty trillion, seven billion, four hundred forty-four million, sixty-seven thousand, six hundred seventy-seven".