643241567400 has 48 divisors (see below), whose sum is σ = 1994048860800. Its totient is φ = 171531084480.

The previous prime is 643241567393. The next prime is 643241567401. The reversal of 643241567400 is 4765142346.

It is a happy number.

643241567400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (643241567401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536034040 + ... + 536035239.

It is an arithmetic number, because the mean of its divisors is an integer number (41542684600).

Almost surely, 2^643241567400 is an apocalyptic number.

643241567400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643241567400 is an abundant number, since it is smaller than the sum of its proper divisors (1350807293400).

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

643241567400 is a wasteful number, since it uses less digits than its factorization.

643241567400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072069298 (or 1072069289 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

It can be divided in two parts, 6432415 and 67400, that added together give a triangular number (6499815 = T₃₆₀₅).

The spelling of 643241567400 in words is "six hundred forty-three billion, two hundred forty-one million, five hundred sixty-seven thousand, four hundred".