20364783120864 has 576 divisors, whose sum is σ = 71665627557888. Its totient is φ = 5341701427200.

The previous prime is 20364783120853. The next prime is 20364783120883. The reversal of 20364783120864 is 46802138746302.

20364783120864 is a `hidden beast` number, since 2 + 0 + 364 + 7 + 83 + 120 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20364783120864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4637844109 + ... + 4637848499.

It is an arithmetic number, because the mean of its divisors is an integer number (124419492288).

Almost surely, 2^{20364783120864} is an apocalyptic number.

20364783120864 is a gapful number since it is divisible by the number (24) 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 20364783120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35832813778944).

20364783120864 is an abundant number, since it is smaller than the sum of its proper divisors (51300844437024).

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

20364783120864 is a wasteful number, since it uses less digits than its factorization.

20364783120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 20364783120864 in words is "twenty trillion, three hundred sixty-four billion, seven hundred eighty-three million, one hundred twenty thousand, eight hundred sixty-four".