65676671424000 has 4480 divisors, whose sum is σ = 312577993728000. Its totient is φ = 13383180288000.

The previous prime is 65676671423981. The next prime is 65676671424011. The reversal of 65676671424000 is 42417667656.

65676671424000 is a `hidden beast` number, since 6 + 567 + 6 + 6 + 71 + 4 + 2 + 4 + 0 + 0 + 0 = 666.

65676671424000 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 (4480).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 131616575751 + ... + 131616576249.

It is an arithmetic number, because the mean of its divisors is an integer number (69771873600).

Almost surely, 2^{65676671424000} is an apocalyptic number.

65676671424000 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 65676671424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156288996864000).

65676671424000 is an abundant number, since it is smaller than the sum of its proper divisors (246901322304000).

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

65676671424000 is an equidigital number, since it uses as much as digits as its factorization.

65676671424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 65676671424000 in words is "sixty-five trillion, six hundred seventy-six billion, six hundred seventy-one million, four hundred twenty-four thousand".