66733355794896 has 1440 divisors, whose sum is σ = 237782266675200. Its totient is φ = 17365468538880.

The previous prime is 66733355794871. The next prime is 66733355794907. The reversal of 66733355794896 is 69849755333766.

66733355794896 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 3 + 35 + 579 + 4 + 8 + 9 + 6 = 666.

66733355794896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 185886784765 + ... + 185886785123.

It is an arithmetic number, because the mean of its divisors is an integer number (165126574080).

Almost surely, 2^{66733355794896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66733355794896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118891133337600).

66733355794896 is an abundant number, since it is smaller than the sum of its proper divisors (171048910880304).

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

66733355794896 is a wasteful number, since it uses less digits than its factorization.

66733355794896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 861 counting only the distinct ones).

The product of its digits is 18517766400, while the sum is 81.

The spelling of 66733355794896 in words is "sixty-six trillion, seven hundred thirty-three billion, three hundred fifty-five million, seven hundred ninety-four thousand, eight hundred ninety-six".