643674917120 has 144 divisors (see below), whose sum is σ = 1558288368000. Its totient is φ = 254721933312.

The previous prime is 643674917099. The next prime is 643674917131. The reversal of 643674917120 is 21719476346.

It is a super-3 number, since 3×643674917120³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197626532 + ... + 197629788.

It is an arithmetic number, because the mean of its divisors is an integer number (10821447000).

Almost surely, 2^643674917120 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 643674917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779144184000).

643674917120 is an abundant number, since it is smaller than the sum of its proper divisors (914613450880).

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

643674917120 is a wasteful number, since it uses less digits than its factorization.

643674917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 643674917120 in words is "six hundred forty-three billion, six hundred seventy-four million, nine hundred seventeen thousand, one hundred twenty".