643464636672000 has 3072 divisors, whose sum is σ = 2583057896939520. Its totient is φ = 140163416064000.

The previous prime is 643464636671977. The next prime is 643464636672029. The reversal of 643464636672000 is 276636464346.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 665423615517 + ... + 665423616483.

It is an arithmetic number, because the mean of its divisors is an integer number (840839159160).

Almost surely, 2^{643464636672000} is an apocalyptic number.

643464636672000 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 643464636672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291528948469760).

643464636672000 is an abundant number, since it is smaller than the sum of its proper divisors (1939593260267520).

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

643464636672000 is a wasteful number, since it uses less digits than its factorization.

643464636672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 57.

The spelling of 643464636672000 in words is "six hundred forty-three trillion, four hundred sixty-four billion, six hundred thirty-six million, six hundred seventy-two thousand".