643760352 has 192 divisors, whose sum is σ = 2038478400. Its totient is φ = 196853760.

The previous prime is 643760329. The next prime is 643760371. The reversal of 643760352 is 253067346.

643760352 is a `hidden beast` number, since 6 + 43 + 7 + 603 + 5 + 2 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601674 + ... + 602742.

It is an arithmetic number, because the mean of its divisors is an integer number (10617075).

Almost surely, 2^643760352 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 643760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019239200).

643760352 is an abundant number, since it is smaller than the sum of its proper divisors (1394718048).

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

643760352 is a wasteful number, since it uses less digits than its factorization.

643760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 643760352 is about 25372.4329144842. The cubic root of 643760352 is about 863.4583796783.

The spelling of 643760352 in words is "six hundred forty-three million, seven hundred sixty thousand, three hundred fifty-two".