546681867264 has 1056 divisors, whose sum is σ = 1892216668160. Its totient is φ = 150493593600.

The previous prime is 546681867257. The next prime is 546681867293. The reversal of 546681867264 is 462768186645.

It is a happy number.

546681867264 is a `hidden beast` number, since 546 + 6 + 8 + 1 + 8 + 67 + 26 + 4 = 666.

It is a super-2 number, since 2×546681867264² (a number of 24 digits) contains 22 as substring.

Its product of digits (92897280) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4304581569 + ... + 4304581695.

Almost surely, 2^546681867264 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 546681867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946108334080).

546681867264 is an abundant number, since it is smaller than the sum of its proper divisors (1345534800896).

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

546681867264 is a wasteful number, since it uses less digits than its factorization.

546681867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 546681867264 in words is "five hundred forty-six billion, six hundred eighty-one million, eight hundred sixty-seven thousand, two hundred sixty-four".