842606406657 has 32 divisors (see below), whose sum is σ = 1347496531200. Its totient is φ = 518786142336.

The previous prime is 842606406581. The next prime is 842606406659. The reversal of 842606406657 is 756604606248.

It is not a de Polignac number, because 842606406657 - 2¹⁶ = 842606341121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (842606406659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23376028 + ... + 23412045.

It is an arithmetic number, because the mean of its divisors is an integer number (42109266600).

Almost surely, 2^842606406657 is an apocalyptic number.

842606406657 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

842606406657 is a deficient number, since it is larger than the sum of its proper divisors (504890124543).

842606406657 is a wasteful number, since it uses less digits than its factorization.

842606406657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46788134 (or 46788128 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 842606406657 in words is "eight hundred forty-two billion, six hundred six million, four hundred six thousand, six hundred fifty-seven".