406798699172768 has 72 divisors (see below), whose sum is σ = 937575687633732. Its totient is φ = 173231839033344.

The previous prime is 406798699172627. The next prime is 406798699172777. The reversal of 406798699172768 is 867271996897604.

It can be written as a sum of positive squares in 2 ways, for example, as 383051127742864 + 23747571429904 = 19571692^2 + 4873148^2 .

It is a super-3 number, since 3×406798699172768³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825989321 + ... + 826481672.

Almost surely, 2^{406798699172768} is an apocalyptic number.

It is an amenable number.

406798699172768 is an abundant number, since it is smaller than the sum of its proper divisors (530776988460964).

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

406798699172768 is a wasteful number, since it uses less digits than its factorization.

406798699172768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652471174 (or 1652471159 counting only the distinct ones).

The product of its (nonzero) digits is 27653197824, while the sum is 89.

The spelling of 406798699172768 in words is "four hundred six trillion, seven hundred ninety-eight billion, six hundred ninety-nine million, one hundred seventy-two thousand, seven hundred sixty-eight".