643360112640 has 1320 divisors, whose sum is σ = 2786180631360. Its totient is φ = 139314069504.

The previous prime is 643360112609. The next prime is 643360112701. The reversal of 643360112640 is 46211063346.

643360112640 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 6 + 0 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 643360112595 and 643360112604.

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 87 ways as a sum of consecutive naturals, for example, 33861058551 + ... + 33861058569.

Almost surely, 2^643360112640 is an apocalyptic number.

643360112640 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 643360112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393090315680).

643360112640 is an abundant number, since it is smaller than the sum of its proper divisors (2142820518720).

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

643360112640 is an frugal number, since it uses more digits than its factorization.

643360112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 643360112640 its reverse (46211063346), we get a palindrome (689571175986).

The spelling of 643360112640 in words is "six hundred forty-three billion, three hundred sixty million, one hundred twelve thousand, six hundred forty".