643116516480 has 320 divisors, whose sum is σ = 2370777742080. Its totient is φ = 165965137920.

The previous prime is 643116516473. The next prime is 643116516481. The reversal of 643116516480 is 84615611346.

643116516480 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 165 + 1 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×643116516480² (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 not an unprimeable number, because it can be changed into a prime (643116516481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1406947 + ... + 1807133.

It is an arithmetic number, because the mean of its divisors is an integer number (7408680444).

Almost surely, 2^643116516480 is an apocalyptic number.

643116516480 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 643116516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185388871040).

643116516480 is an abundant number, since it is smaller than the sum of its proper divisors (1727661225600).

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

643116516480 is a wasteful number, since it uses less digits than its factorization.

643116516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400249 (or 400228 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 643116516480 in words is "six hundred forty-three billion, one hundred sixteen million, five hundred sixteen thousand, four hundred eighty".