744250242624 has 224 divisors, whose sum is σ = 2294636325120. Its totient is φ = 208475824128.

The previous prime is 744250242607. The next prime is 744250242647. The reversal of 744250242624 is 426242052447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123442042 + ... + 123448070.

Almost surely, 2^744250242624 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 744250242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147318162560).

744250242624 is an abundant number, since it is smaller than the sum of its proper divisors (1550386082496).

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

744250242624 is a wasteful number, since it uses less digits than its factorization.

744250242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 42.

The spelling of 744250242624 in words is "seven hundred forty-four billion, two hundred fifty million, two hundred forty-two thousand, six hundred twenty-four".