8021735668 has 24 divisors (see below), whose sum is σ = 15510059712. Its totient is φ = 3610806144.

The previous prime is 8021735663. The next prime is 8021735713. The reversal of 8021735668 is 8665371208.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021735663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2562930 + ... + 2566057.

It is an arithmetic number, because the mean of its divisors is an integer number (646252488).

Almost surely, 2^8021735668 is an apocalyptic number.

It is an amenable number.

8021735668 is a deficient number, since it is larger than the sum of its proper divisors (7488324044).

8021735668 is a wasteful number, since it uses less digits than its factorization.

8021735668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5129031 (or 5129029 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 8021735668 is about 89564.1427581373. The cubic root of 8021735668 is about 2001.8096677242.

The spelling of 8021735668 in words is "eight billion, twenty-one million, seven hundred thirty-five thousand, six hundred sixty-eight".