66759094788120 has 432 divisors, whose sum is σ = 257242372929360. Its totient is φ = 14971300710912.

The previous prime is 66759094788083. The next prime is 66759094788121. The reversal of 66759094788120 is 2188749095766.

66759094788120 is a `hidden beast` number, since 6 + 6 + 7 + 59 + 0 + 9 + 478 + 81 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66759094788121) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48877117 + ... + 50224403.

It is an arithmetic number, because the mean of its divisors is an integer number (595468455855).

Almost surely, 2^{66759094788120} is an apocalyptic number.

66759094788120 is a gapful number since it is divisible by the number (60) 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 66759094788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128621186464680).

66759094788120 is an abundant number, since it is smaller than the sum of its proper divisors (190483278141240).

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

66759094788120 is a wasteful number, since it uses less digits than its factorization.

66759094788120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347424 (or 1347357 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 66759094788120 in words is "sixty-six trillion, seven hundred fifty-nine billion, ninety-four million, seven hundred eighty-eight thousand, one hundred twenty".