654345216000 has 2240 divisors, whose sum is σ = 2968756876800. Its totient is φ = 143061811200.

The previous prime is 654345215987. The next prime is 654345216011. The reversal of 654345216000 is 612543456.

654345216000 is a `hidden beast` number, since 6 + 5 + 4 + 3 + 45 + 2 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28449791989 + ... + 28449792011.

Almost surely, 2^654345216000 is an apocalyptic number.

654345216000 is a gapful number since it is divisible by the number (60) 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 654345216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484378438400).

654345216000 is an abundant number, since it is smaller than the sum of its proper divisors (2314411660800).

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

654345216000 is an frugal number, since it uses more digits than its factorization.

654345216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 654345216000 its reverse (612543456), we get a palindrome (654957759456).

The spelling of 654345216000 in words is "six hundred fifty-four billion, three hundred forty-five million, two hundred sixteen thousand".