643331160 has 320 divisors, whose sum is σ = 2305195200. Its totient is φ = 160579584.

The previous prime is 643331147. The next prime is 643331177. The reversal of 643331160 is 61133346.

643331160 is a `hidden beast` number, since 643 + 3 + 3 + 1 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 6632232 + ... + 6632328.

It is an arithmetic number, because the mean of its divisors is an integer number (7203735).

Almost surely, 2^643331160 is an apocalyptic number.

643331160 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 643331160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152597600).

643331160 is an abundant number, since it is smaller than the sum of its proper divisors (1661864040).

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

643331160 is a wasteful number, since it uses less digits than its factorization.

643331160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 643331160 is about 25363.9736634463. The cubic root of 643331160 is about 863.2664491382.

The spelling of 643331160 in words is "six hundred forty-three million, three hundred thirty-one thousand, one hundred sixty".