546716589672960 has 2560 divisors, whose sum is σ = 2414587833630720. Its totient is φ = 114542643511296.

The previous prime is 546716589672949. The next prime is 546716589672961. The reversal of 546716589672960 is 69276985617645.

546716589672960 is a `hidden beast` number, since 5 + 4 + 6 + 7 + 1 + 6 + 589 + 6 + 7 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a self number, because there is not a number n which added to its sum of digits gives 546716589672960.

It is not an unprimeable number, because it can be changed into a prime (546716589672961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25361430502 + ... + 25361452058.

It is an arithmetic number, because the mean of its divisors is an integer number (943198372512).

Almost surely, 2^{546716589672960} 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 546716589672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207293916815360).

546716589672960 is an abundant number, since it is smaller than the sum of its proper divisors (1867871243957760).

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

546716589672960 is a wasteful number, since it uses less digits than its factorization.

546716589672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21715 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 8230118400, while the sum is 81.

The spelling of 546716589672960 in words is "five hundred forty-six trillion, seven hundred sixteen billion, five hundred eighty-nine million, six hundred seventy-two thousand, nine hundred sixty".