643316688000 has 768 divisors, whose sum is σ = 2756505772800. Its totient is φ = 147038976000.

The previous prime is 643316687953. The next prime is 643316688013. The reversal of 643316688000 is 886613346.

It is a super-2 number, since 2×643316688000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21152805 + ... + 21183195.

It is an arithmetic number, because the mean of its divisors is an integer number (3589200225).

Almost surely, 2^643316688000 is an apocalyptic number.

643316688000 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 643316688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378252886400).

643316688000 is an abundant number, since it is smaller than the sum of its proper divisors (2113189084800).

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

643316688000 is a wasteful number, since it uses less digits than its factorization.

643316688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30443 (or 30408 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 643316688000 in words is "six hundred forty-three billion, three hundred sixteen million, six hundred eighty-eight thousand".