65679306338448 has 800 divisors, whose sum is σ = 222167708928000. Its totient is φ = 18511786967040.

The previous prime is 65679306338419. The next prime is 65679306338501. The reversal of 65679306338448 is 84483360397656.

65679306338448 is a `hidden beast` number, since 6 + 5 + 6 + 7 + 93 + 0 + 63 + 38 + 448 = 666.

65679306338448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 159 ways as a sum of consecutive naturals, for example, 10804291473 + ... + 10804297551.

It is an arithmetic number, because the mean of its divisors is an integer number (277709636160).

Almost surely, 2^{65679306338448} is an apocalyptic number.

65679306338448 is a gapful number since it is divisible by the number (68) 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 65679306338448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111083854464000).

65679306338448 is an abundant number, since it is smaller than the sum of its proper divisors (156488402589552).

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

65679306338448 is a wasteful number, since it uses less digits than its factorization.

65679306338448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 65679306338448 in words is "sixty-five trillion, six hundred seventy-nine billion, three hundred six million, three hundred thirty-eight thousand, four hundred forty-eight".