643527573504 has 256 divisors, whose sum is σ = 1809495797760. Its totient is φ = 203127521280.

The previous prime is 643527573503. The next prime is 643527573523. The reversal of 643527573504 is 405375725346.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×643527573504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643527573503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143226682 + ... + 143231174.

It is an arithmetic number, because the mean of its divisors is an integer number (7068342960).

Almost surely, 2^643527573504 is an apocalyptic number.

643527573504 is a gapful number since it is divisible by the number (64) 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 643527573504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904747898880).

643527573504 is an abundant number, since it is smaller than the sum of its proper divisors (1165968224256).

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

643527573504 is an equidigital number, since it uses as much as digits as its factorization.

643527573504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 51.

The spelling of 643527573504 in words is "six hundred forty-three billion, five hundred twenty-seven million, five hundred seventy-three thousand, five hundred four".