643713288192 has 360 divisors, whose sum is σ = 2082092782770. Its totient is φ = 198057000960.

The previous prime is 643713288191. The next prime is 643713288227. The reversal of 643713288192 is 291882317346.

It is a happy number.

643713288192 is a `hidden beast` number, since 6 + 4 + 371 + 3 + 2 + 88 + 192 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 385909318656 + 257803969536 = 621216^2 + 507744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643713288191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28023592 + ... + 28046552.

Almost surely, 2^643713288192 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 643713288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041046391385).

643713288192 is an abundant number, since it is smaller than the sum of its proper divisors (1438379494578).

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

643713288192 is a wasteful number, since it uses less digits than its factorization.

643713288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23021 (or 22979 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 643713288192 in words is "six hundred forty-three billion, seven hundred thirteen million, two hundred eighty-eight thousand, one hundred ninety-two".