66933284544 has 168 divisors, whose sum is σ = 232157491488. Its totient is φ = 17998848000.

The previous prime is 66933284543. The next prime is 66933284573. The reversal of 66933284544 is 44548233966.

66933284544 is a `hidden beast` number, since 6 + 6 + 93 + 3 + 2 + 8 + 4 + 544 = 666.

66933284544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (66933284543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419707 + ... + 556794.

Almost surely, 2^66933284544 is an apocalyptic number.

66933284544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66933284544 is an abundant number, since it is smaller than the sum of its proper divisors (165224206944).

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

66933284544 is a wasteful number, since it uses less digits than its factorization.

66933284544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976543 (or 976530 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 66933284544 in words is "sixty-six billion, nine hundred thirty-three million, two hundred eighty-four thousand, five hundred forty-four".