546359680440 has 960 divisors, whose sum is σ = 2203760338560. Its totient is φ = 120982740480.

The previous prime is 546359680387. The next prime is 546359680469. The reversal of 546359680440 is 44086953645.

546359680440 is a `hidden beast` number, since 5 + 4 + 6 + 3 + 596 + 8 + 0 + 4 + 40 = 666.

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 239 ways as a sum of consecutive naturals, for example, 1112748595 + ... + 1112749085.

It is an arithmetic number, because the mean of its divisors is an integer number (2295583686).

Almost surely, 2^546359680440 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 546359680440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101880169280).

546359680440 is an abundant number, since it is smaller than the sum of its proper divisors (1657400658120).

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

546359680440 is a wasteful number, since it uses less digits than its factorization.

546359680440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 546359680440 in words is "five hundred forty-six billion, three hundred fifty-nine million, six hundred eighty thousand, four hundred forty".