20067663007728 has 320 divisors, whose sum is σ = 66142616601600. Its totient is φ = 5706487480320.

The previous prime is 20067663007709. The next prime is 20067663007747. The reversal of 20067663007728 is 82770036676002.

20067663007728 is a `hidden beast` number, since 200 + 6 + 7 + 66 + 300 + 7 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20067663007709) and next prime (20067663007747).

It is a super-2 number, since 2×20067663007728² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 593542888 + ... + 593576696.

It is an arithmetic number, because the mean of its divisors is an integer number (206695676880).

Almost surely, 2^{20067663007728} is an apocalyptic number.

20067663007728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20067663007728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33071308300800).

20067663007728 is an abundant number, since it is smaller than the sum of its proper divisors (46074953593872).

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

20067663007728 is a wasteful number, since it uses less digits than its factorization.

20067663007728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34757 (or 34745 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 20067663007728 in words is "twenty trillion, sixty-seven billion, six hundred sixty-three million, seven thousand, seven hundred twenty-eight".