66948479288064 has 432 divisors, whose sum is σ = 222058904820480. Its totient is φ = 19185076592640.

The previous prime is 66948479288027. The next prime is 66948479288081. The reversal of 66948479288064 is 46088297484966.

It is a happy number.

66948479288064 is a `hidden beast` number, since 6 + 6 + 9 + 4 + 8 + 479 + 2 + 8 + 80 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268090749 + ... + 268340355.

It is an arithmetic number, because the mean of its divisors is an integer number (514025242640).

Almost surely, 2^{66948479288064} is an apocalyptic number.

66948479288064 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 66948479288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111029452410240).

66948479288064 is an abundant number, since it is smaller than the sum of its proper divisors (155110425532416).

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

66948479288064 is a wasteful number, since it uses less digits than its factorization.

66948479288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250216 (or 250199 counting only the distinct ones).

The product of its (nonzero) digits is 8026324992, while the sum is 81.

The spelling of 66948479288064 in words is "sixty-six trillion, nine hundred forty-eight billion, four hundred seventy-nine million, two hundred eighty-eight thousand, sixty-four".