643542727245348 has 384 divisors, whose sum is σ = 1844463959654400. Its totient is φ = 170468520026112.

The previous prime is 643542727245337. The next prime is 643542727245349. The reversal of 643542727245348 is 843542727245346.

It is a super-2 number, since 2×643542727245348² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (643542727245349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13140741390 + ... + 13140790362.

It is an arithmetic number, because the mean of its divisors is an integer number (4803291561600).

Almost surely, 2^{643542727245348} is an apocalyptic number.

643542727245348 is a gapful number since it is divisible by the number (68) 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 643542727245348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922231979827200).

643542727245348 is an abundant number, since it is smaller than the sum of its proper divisors (1200921232409052).

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

643542727245348 is a wasteful number, since it uses less digits than its factorization.

643542727245348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49659 (or 49657 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 66.

The spelling of 643542727245348 in words is "six hundred forty-three trillion, five hundred forty-two billion, seven hundred twenty-seven million, two hundred forty-five thousand, three hundred forty-eight".