744104474993880 has 2304 divisors, whose sum is σ = 3350956680489600. Its totient is φ = 141926258073600.

The previous prime is 744104474993783. The next prime is 744104474993903. The reversal of 744104474993880 is 88399474401447.

It is a happy number.

744104474993880 is a `hidden beast` number, since 7 + 4 + 4 + 10 + 4 + 47 + 499 + 3 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 744104474993799 and 744104474993808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55245703786 + ... + 55245717254.

Almost surely, 2^{744104474993880} is an apocalyptic number.

744104474993880 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 744104474993880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675478340244800).

744104474993880 is an abundant number, since it is smaller than the sum of its proper divisors (2606852205495720).

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

744104474993880 is a wasteful number, since it uses less digits than its factorization.

744104474993880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 744104474993880 in words is "seven hundred forty-four trillion, one hundred four billion, four hundred seventy-four million, nine hundred ninety-three thousand, eight hundred eighty".