5466079376640 has 720 divisors, whose sum is σ = 19887036933456. Its totient is φ = 1433272320000.

The previous prime is 5466079376629. The next prime is 5466079376647. The reversal of 5466079376640 is 466739706645.

5466079376640 is a `hidden beast` number, since 5 + 466 + 0 + 79 + 3 + 7 + 66 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 51634381824 + 5414444994816 = 227232^2 + 2326896^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5466079376647) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3035023740 + ... + 3035025540.

Almost surely, 2^{5466079376640} 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 5466079376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9943518466728).

5466079376640 is an abundant number, since it is smaller than the sum of its proper divisors (14420957556816).

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

5466079376640 is a wasteful number, since it uses less digits than its factorization.

5466079376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 5466079376640 in words is "five trillion, four hundred sixty-six billion, seventy-nine million, three hundred seventy-six thousand, six hundred forty".