546600441600 has 540 divisors, whose sum is σ = 2027043760896. Its totient is φ = 145326735360.

The previous prime is 546600441589. The next prime is 546600441623. The reversal of 546600441600 is 6144006645.

546600441600 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 0 + 0 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 198545824 + ... + 198548576.

Almost surely, 2^546600441600 is an apocalyptic number.

546600441600 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 546600441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013521880448).

546600441600 is an abundant number, since it is smaller than the sum of its proper divisors (1480443319296).

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

546600441600 is a wasteful number, since it uses less digits than its factorization.

546600441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 546600441600 in words is "five hundred forty-six billion, six hundred million, four hundred forty-one thousand, six hundred".