643016880 has 480 divisors, whose sum is σ = 2547836928. Its totient is φ = 149299200.

The previous prime is 643016873. The next prime is 643016897. The reversal of 643016880 is 88610346.

It is a happy number.

643016880 is a `hidden beast` number, since 643 + 0 + 1 + 6 + 8 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6628992 + ... + 6629088.

Almost surely, 2^643016880 is an apocalyptic number.

643016880 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 643016880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273918464).

643016880 is an abundant number, since it is smaller than the sum of its proper divisors (1904820048).

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

643016880 is a wasteful number, since it uses less digits than its factorization.

643016880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 643016880 is about 25357.7775051364. Note that the first 3 decimals coincide. The cubic root of 643016880 is about 863.1258519942.

The spelling of 643016880 in words is "six hundred forty-three million, sixteen thousand, eight hundred eighty".