744674689890 has 320 divisors, whose sum is σ = 2215161907200. Its totient is φ = 178845511680.

The previous prime is 744674689879. The next prime is 744674689909. The reversal of 744674689890 is 98986476447.

744674689890 is a `hidden beast` number, since 7 + 4 + 467 + 4 + 6 + 89 + 89 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21351186 + ... + 21386034.

It is an arithmetic number, because the mean of its divisors is an integer number (6922380960).

Almost surely, 2^744674689890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744674689890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107580953600).

744674689890 is an abundant number, since it is smaller than the sum of its proper divisors (1470487217310).

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

744674689890 is a wasteful number, since it uses less digits than its factorization.

744674689890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34959 (or 34950 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 744674689890 in words is "seven hundred forty-four billion, six hundred seventy-four million, six hundred eighty-nine thousand, eight hundred ninety".