66556742364 has 192 divisors, whose sum is σ = 208989849600. Its totient is φ = 17881814016.

The previous prime is 66556742363. The next prime is 66556742377. The reversal of 66556742364 is 46324765566.

66556742364 is a `hidden beast` number, since 6 + 6 + 5 + 567 + 42 + 36 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66556742364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66556742363) by changing a digit.

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, 26589537 + ... + 26592039.

It is an arithmetic number, because the mean of its divisors is an integer number (1088488800).

Almost surely, 2^66556742364 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 66556742364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104494924800).

66556742364 is an abundant number, since it is smaller than the sum of its proper divisors (142433107236).

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

66556742364 is a wasteful number, since it uses less digits than its factorization.

66556742364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4601 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 66556742364 in words is "sixty-six billion, five hundred fifty-six million, seven hundred forty-two thousand, three hundred sixty-four".