643086162432 has 960 divisors, whose sum is σ = 2357286624000. Its totient is φ = 169444638720.

The previous prime is 643086162431. The next prime is 643086162443. The reversal of 643086162432 is 234261680346.

643086162432 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 8 + 616 + 24 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (643086162431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1432262944 + ... + 1432263392.

It is an arithmetic number, because the mean of its divisors is an integer number (2455506900).

Almost surely, 2^643086162432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643086162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178643312000).

643086162432 is an abundant number, since it is smaller than the sum of its proper divisors (1714200461568).

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

643086162432 is a wasteful number, since it uses less digits than its factorization.

643086162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 643086162432 in words is "six hundred forty-three billion, eighty-six million, one hundred sixty-two thousand, four hundred thirty-two".