785374210628667 has 48 divisors (see below), whose sum is σ = 1314834737280480. Its totient is φ = 447150274905600.

The previous prime is 785374210628659. The next prime is 785374210628713. The reversal of 785374210628667 is 766826012473587.

785374210628667 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 7 + 421 + 0 + 62 + 86 + 67 = 666.

It is not a de Polignac number, because 785374210628667 - 2³ = 785374210628659 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 785374210628595 and 785374210628604.

It is not an unprimeable number, because it can be changed into a prime (785374210628647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3696572634 + ... + 3696785087.

It is an arithmetic number, because the mean of its divisors is an integer number (27392390360010).

Almost surely, 2^{785374210628667} is an apocalyptic number.

785374210628667 is a deficient number, since it is larger than the sum of its proper divisors (529460526651813).

785374210628667 is a wasteful number, since it uses less digits than its factorization.

785374210628667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393357804 (or 7393357801 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 785374210628667 in words is "seven hundred eighty-five trillion, three hundred seventy-four billion, two hundred ten million, six hundred twenty-eight thousand, six hundred sixty-seven".