643352160 has 384 divisors, whose sum is σ = 2390653440. Its totient is φ = 144967680.

The previous prime is 643352119. The next prime is 643352201. The reversal of 643352160 is 61253346.

It is an interprime number because it is at equal distance from previous prime (643352119) and next prime (643352201).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12138694 + ... + 12138746.

It is an arithmetic number, because the mean of its divisors is an integer number (6225660).

Almost surely, 2^643352160 is an apocalyptic number.

643352160 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 643352160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195326720).

643352160 is an abundant number, since it is smaller than the sum of its proper divisors (1747301280).

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

643352160 is a wasteful number, since it uses less digits than its factorization.

643352160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 643352160 is about 25364.3876330575. The cubic root of 643352160 is about 863.2758421224.

The spelling of 643352160 in words is "six hundred forty-three million, three hundred fifty-two thousand, one hundred sixty".