643529652480 has 1296 divisors, whose sum is σ = 2791990721520. Its totient is φ = 135470776320.

The previous prime is 643529652473. The next prime is 643529652523. The reversal of 643529652480 is 84256925346.

643529652480 is a `hidden beast` number, since 6 + 4 + 35 + 2 + 9 + 6 + 524 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6189283584 + 637340368896 = 78672^2 + 798336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 308055276 + ... + 308057364.

Almost surely, 2^643529652480 is an apocalyptic number.

643529652480 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 643529652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395995360760).

643529652480 is an abundant number, since it is smaller than the sum of its proper divisors (2148461069040).

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

643529652480 is a wasteful number, since it uses less digits than its factorization.

643529652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 643529652480 in words is "six hundred forty-three billion, five hundred twenty-nine million, six hundred fifty-two thousand, four hundred eighty".