66846495356928 has 576 divisors, whose sum is σ = 232561501099200. Its totient is φ = 18092426526720.

The previous prime is 66846495356923. The next prime is 66846495356929. The reversal of 66846495356928 is 82965359464866.

66846495356928 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 6 + 49 + 5 + 3 + 569 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66846495356923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198141348 + ... + 198478428.

It is an arithmetic number, because the mean of its divisors is an integer number (403752606075).

Almost surely, 2^{66846495356928} 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 66846495356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280750549600).

66846495356928 is an abundant number, since it is smaller than the sum of its proper divisors (165715005742272).

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

66846495356928 is a wasteful number, since it uses less digits than its factorization.

66846495356928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337198 (or 337175 counting only the distinct ones).

The product of its digits is 16124313600, while the sum is 81.

The spelling of 66846495356928 in words is "sixty-six trillion, eight hundred forty-six billion, four hundred ninety-five million, three hundred fifty-six thousand, nine hundred twenty-eight".