546624000000 has 1092 divisors, whose sum is σ = 2154589374028. Its totient is φ = 132710400000.

The previous prime is 546623999953. The next prime is 546624000001. The reversal of 546624000000 is 426645.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 378904264704 + 167719735296 = 615552^2 + 409536^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546624000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7487999964 + ... + 7488000036.

Almost surely, 2^546624000000 is an apocalyptic number.

546624000000 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 546624000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077294687014).

546624000000 is an abundant number, since it is smaller than the sum of its proper divisors (1607965374028).

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

546624000000 is an frugal number, since it uses more digits than its factorization.

546624000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 546624000000 its reverse (426645), we get a palindrome (546624426645).

The spelling of 546624000000 in words is "five hundred forty-six billion, six hundred twenty-four million", and thus it is an aban number.