643648143456 has 168 divisors, whose sum is σ = 1903415351544. Its totient is φ = 214152906240.

The previous prime is 643648143427. The next prime is 643648143473. The reversal of 643648143456 is 654341846346.

It is a happy number.

643648143456 is a `hidden beast` number, since 6 + 4 + 3 + 6 + 48 + 143 + 456 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12735196 + ... + 12785636.

It is an arithmetic number, because the mean of its divisors is an integer number (11329853283).

Almost surely, 2^643648143456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643648143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951707675772).

643648143456 is an abundant number, since it is smaller than the sum of its proper divisors (1259767208088).

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

643648143456 is an equidigital number, since it uses as much as digits as its factorization.

643648143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51016 (or 50993 counting only the distinct ones).

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

The spelling of 643648143456 in words is "six hundred forty-three billion, six hundred forty-eight million, one hundred forty-three thousand, four hundred fifty-six".