643467082896 has 405 divisors, whose sum is σ = 2033263754067. Its totient is φ = 189824088960.

The previous prime is 643467082879. The next prime is 643467082903. The reversal of 643467082896 is 698280764346.

The square root of 643467082896 is 802164.

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

643467082896 is a `hidden beast` number, since 6 + 4 + 3 + 467 + 0 + 82 + 8 + 96 = 666.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 6247253181 + ... + 6247253283.

Almost surely, 2^643467082896 is an apocalyptic number.

643467082896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643467082896 is the 802164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643467082896

643467082896 is an abundant number, since it is smaller than the sum of its proper divisors (1389796671171).

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

643467082896 is a wasteful number, since it uses less digits than its factorization.

643467082896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 643467082896 in words is "six hundred forty-three billion, four hundred sixty-seven million, eighty-two thousand, eight hundred ninety-six".