5466306384 has 720 divisors, whose sum is σ = 21513623040. Its totient is φ = 1301702400.

The previous prime is 5466306371. The next prime is 5466306413. The reversal of 5466306384 is 4836036645.

5466306384 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 3 + 0 + 638 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 176332449 + ... + 176332479.

It is an arithmetic number, because the mean of its divisors is an integer number (29880032).

Almost surely, 2^5466306384 is an apocalyptic number.

5466306384 is a gapful number since it is divisible by the number (54) 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 5466306384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10756811520).

5466306384 is an abundant number, since it is smaller than the sum of its proper divisors (16047316656).

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

5466306384 is a wasteful number, since it uses less digits than its factorization.

5466306384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 5466306384 is about 73934.4735830316. The cubic root of 5466306384 is about 1761.5622303301.

The spelling of 5466306384 in words is "five billion, four hundred sixty-six million, three hundred six thousand, three hundred eighty-four".