643476960 has 480 divisors, whose sum is σ = 2674026432. Its totient is φ = 142663680.

The previous prime is 643476941. The next prime is 643476961. The reversal of 643476960 is 69674346.

643476960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643476961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719434 + ... + 3719606.

Almost surely, 2^643476960 is an apocalyptic number.

643476960 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 643476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337013216).

643476960 is an abundant number, since it is smaller than the sum of its proper divisors (2030549472).

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

643476960 is a wasteful number, since it uses less digits than its factorization.

643476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 643476960 is about 25366.8476559465. The cubic root of 643476960 is about 863.3316590690.

The spelling of 643476960 in words is "six hundred forty-three million, four hundred seventy-six thousand, nine hundred sixty".