66910981423104 has 4096 divisors, whose sum is σ = 284107751424000. Its totient is φ = 15043626270720.

The previous prime is 66910981423051. The next prime is 66910981423151. The reversal of 66910981423104 is 40132418901966.

66910981423104 is a `hidden beast` number, since 6 + 6 + 9 + 109 + 8 + 1 + 423 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 806156402647 + ... + 806156402729.

It is an arithmetic number, because the mean of its divisors is an integer number (69362244000).

Almost surely, 2^{66910981423104} is an apocalyptic number.

66910981423104 is a gapful number since it is divisible by the number (64) 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 66910981423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142053875712000).

66910981423104 is an abundant number, since it is smaller than the sum of its proper divisors (217196770000896).

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

66910981423104 is a wasteful number, since it uses less digits than its factorization.

66910981423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 66910981423104 in words is "sixty-six trillion, nine hundred ten billion, nine hundred eighty-one million, four hundred twenty-three thousand, one hundred four".