643835260752 has 240 divisors, whose sum is σ = 1803010224960. Its totient is φ = 197722714112.

The previous prime is 643835260711. The next prime is 643835260759. The reversal of 643835260752 is 257062538346.

It is a junction number, because it is equal to n+sod(n) for n = 643835260695 and 643835260704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643835260759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414574408 + ... + 414575960.

It is an arithmetic number, because the mean of its divisors is an integer number (7512542604).

Almost surely, 2^643835260752 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 643835260752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901505112480).

643835260752 is an abundant number, since it is smaller than the sum of its proper divisors (1159174964208).

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

643835260752 is a wasteful number, since it uses less digits than its factorization.

643835260752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 643835260752 in words is "six hundred forty-three billion, eight hundred thirty-five million, two hundred sixty thousand, seven hundred fifty-two".