643252480 has 288 divisors, whose sum is σ = 1813109760. Its totient is φ = 216760320.

The previous prime is 643252471. The next prime is 643252541. The reversal of 643252480 is 84252346.

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, 14959339 + ... + 14959381.

It is an arithmetic number, because the mean of its divisors is an integer number (6295520).

Almost surely, 2^643252480 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 643252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906554880).

643252480 is an abundant number, since it is smaller than the sum of its proper divisors (1169857280).

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

643252480 is a wasteful number, since it uses less digits than its factorization.

643252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 643252480 is about 25362.4225972205. The cubic root of 643252480 is about 863.2312549399.

The spelling of 643252480 in words is "six hundred forty-three million, two hundred fifty-two thousand, four hundred eighty".