744491167056 has 400 divisors, whose sum is σ = 2702089805184. Its totient is φ = 192642997248.

The previous prime is 744491167039. The next prime is 744491167067. The reversal of 744491167056 is 650761194447.

It is a happy number.

744491167056 is a `hidden beast` number, since 7 + 44 + 491 + 1 + 67 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 744491166993 and 744491167011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6191055 + ... + 6310161.

Almost surely, 2^744491167056 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 744491167056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351044902592).

744491167056 is an abundant number, since it is smaller than the sum of its proper divisors (1957598638128).

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

744491167056 is a wasteful number, since it uses less digits than its factorization.

744491167056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119200 (or 119185 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 744491167056 in words is "seven hundred forty-four billion, four hundred ninety-one million, one hundred sixty-seven thousand, fifty-six".