774408983040 has 1080 divisors, whose sum is σ = 3429886840380. Its totient is φ = 160887767040.

The previous prime is 774408983039. The next prime is 774408983041. The reversal of 774408983040 is 40389804477.

774408983040 is a `hidden beast` number, since 7 + 7 + 440 + 89 + 83 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (774408983039) and next prime (774408983041).

It can be written as a sum of positive squares in 2 ways, for example, as 741610324224 + 32798658816 = 861168^2 + 181104^2 .

It is not an unprimeable number, because it can be changed into a prime (774408983041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136601326 + ... + 136606994.

Almost surely, 2^774408983040 is an apocalyptic number.

774408983040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 774408983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714943420190).

774408983040 is an abundant number, since it is smaller than the sum of its proper divisors (2655477857340).

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

774408983040 is a wasteful number, since it uses less digits than its factorization.

774408983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 774408983040 in words is "seven hundred seventy-four billion, four hundred eight million, nine hundred eighty-three thousand, forty".