643005119376 has 135 divisors (see below), whose sum is σ = 1899757905201. Its totient is φ = 202996513152.

The previous prime is 643005119363. The next prime is 643005119381. The reversal of 643005119376 is 673911500346.

It is a happy number.

The square root of 643005119376 is 801876.

It is a perfect power (a square), and thus also a powerful number.

643005119376 is a `hidden beast` number, since 6 + 43 + 0 + 0 + 511 + 93 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 616947411600 + 26057707776 = 785460^2 + 161424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182825970 + ... + 182829486.

Almost surely, 2^643005119376 is an apocalyptic number.

643005119376 is the 801876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643005119376

643005119376 is an abundant number, since it is smaller than the sum of its proper divisors (1256752785825).

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

643005119376 is an equidigital number, since it uses as much as digits as its factorization.

643005119376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 643005119376 in words is "six hundred forty-three billion, five million, one hundred nineteen thousand, three hundred seventy-six".