643541197824 has 528 divisors, whose sum is σ = 2193356111232. Its totient is φ = 177916870656.

The previous prime is 643541197801. The next prime is 643541197847. The reversal of 643541197824 is 428791145346.

643541197824 is a `hidden beast` number, since 6 + 4 + 3 + 541 + 1 + 9 + 78 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (643541197801) and next prime (643541197847).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313462782 + ... + 313464834.

It is an arithmetic number, because the mean of its divisors is an integer number (4154083544).

Almost surely, 2^643541197824 is an apocalyptic number.

643541197824 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 643541197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096678055616).

643541197824 is an abundant number, since it is smaller than the sum of its proper divisors (1549814913408).

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

643541197824 is a wasteful number, since it uses less digits than its factorization.

643541197824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2221 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 643541197824 in words is "six hundred forty-three billion, five hundred forty-one million, one hundred ninety-seven thousand, eight hundred twenty-four".