774868441306608 has 1600 divisors, whose sum is σ = 2626477492396032. Its totient is φ = 218368712540160.

The previous prime is 774868441306559. The next prime is 774868441306669. The reversal of 774868441306608 is 806603144868477.

774868441306608 is a `hidden beast` number, since 7 + 7 + 4 + 8 + 6 + 8 + 4 + 4 + 1 + 3 + 0 + 6 + 608 = 666.

It is a super-2 number, since 2×774868441306608² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 712850451441 + ... + 712850452527.

Almost surely, 2^{774868441306608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774868441306608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313238746198016).

774868441306608 is an abundant number, since it is smaller than the sum of its proper divisors (1851609051089424).

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

774868441306608 is a wasteful number, since it uses less digits than its factorization.

774868441306608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 774868441306608 in words is "seven hundred seventy-four trillion, eight hundred sixty-eight billion, four hundred forty-one million, three hundred six thousand, six hundred eight".