643466480025600 has 4320 divisors, whose sum is σ = 3022783960876680. Its totient is φ = 132457719398400.

The previous prime is 643466480025553. The next prime is 643466480025613. The reversal of 643466480025600 is 6520084664346.

643466480025600 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 6 + 6 + 4 + 8 + 0 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-5 number, since 5×643466480025600⁵ (a number of 75 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 6013705420747 + ... + 6013705420853.

Almost surely, 2^{643466480025600} is an apocalyptic number.

643466480025600 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 643466480025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511391980438340).

643466480025600 is an abundant number, since it is smaller than the sum of its proper divisors (2379317480851080).

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

643466480025600 is an equidigital number, since it uses as much as digits as its factorization.

643466480025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 643466480025600 in words is "six hundred forty-three trillion, four hundred sixty-six billion, four hundred eighty million, twenty-five thousand, six hundred".