643067040 has 384 divisors, whose sum is σ = 2563964928. Its totient is φ = 131604480.

The previous prime is 643066999. The next prime is 643067053. The reversal of 643067040 is 40760346.

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

It is a junction number, because it is equal to n+sod(n) for n = 643066989 and 643067007.

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, 4693852 + ... + 4693988.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2^643067040 is an apocalyptic number.

643067040 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 643067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281982464).

643067040 is an abundant number, since it is smaller than the sum of its proper divisors (1920897888).

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

643067040 is a wasteful number, since it uses less digits than its factorization.

643067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 643067040 is about 25358.7665315173. The cubic root of 643067040 is about 863.1482947783.

The spelling of 643067040 in words is "six hundred forty-three million, sixty-seven thousand, forty".