546409672200 has 972 divisors, whose sum is σ = 2270212329645. Its totient is φ = 117417081600.

The previous prime is 546409672199. The next prime is 546409672213. The reversal of 546409672200 is 2276904645.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

546409672200 is a `hidden beast` number, since 546 + 40 + 9 + 67 + 2 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 535481478756 + 10928193444 = 731766^2 + 104538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=522690.

It is a super-2 number, since 2×546409672200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4171066135 + ... + 4171066265.

Almost surely, 2^546409672200 is an apocalyptic number.

546409672200 is a gapful number since it is divisible by the number (50) 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 546409672200

546409672200 is an abundant number, since it is smaller than the sum of its proper divisors (1723802657445).

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

546409672200 is a wasteful number, since it uses less digits than its factorization.

546409672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 546409672200 in words is "five hundred forty-six billion, four hundred nine million, six hundred seventy-two thousand, two hundred".