68821000641 has 24 divisors (see below), whose sum is σ = 101735599680. Its totient is φ = 44806771296.

The previous prime is 68821000627. The next prime is 68821000673. The reversal of 68821000641 is 14600012886.

68821000641 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 1 + 0 + 0 + 0 + 641 = 666.

It is not a de Polignac number, because 68821000641 - 2²⁵ = 68787446209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 68821000596 and 68821000605.

It is not an unprimeable number, because it can be changed into a prime (68822000641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081015 + ... + 4097843.

It is an arithmetic number, because the mean of its divisors is an integer number (4238983320).

Almost surely, 2^68821000641 is an apocalyptic number.

68821000641 is the 151461-st octagonal number.

It is an amenable number.

68821000641 is a deficient number, since it is larger than the sum of its proper divisors (32914599039).

68821000641 is a wasteful number, since it uses less digits than its factorization.

68821000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27445 (or 27442 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 68821000641 in words is "sixty-eight billion, eight hundred twenty-one million, six hundred forty-one", and thus it is an aban number.