744520851648 has 336 divisors, whose sum is σ = 2524955397120. Its totient is φ = 205338488832.

The previous prime is 744520851629. The next prime is 744520851671. The reversal of 744520851648 is 846158025447.

744520851648 is a `hidden beast` number, since 7 + 4 + 4 + 520 + 8 + 51 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×744520851648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 744520851594 and 744520851603.

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 47 ways as a sum of consecutive naturals, for example, 13806883 + ... + 13860701.

Almost surely, 2^744520851648 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 744520851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262477698560).

744520851648 is an abundant number, since it is smaller than the sum of its proper divisors (1780434545472).

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

744520851648 is a wasteful number, since it uses less digits than its factorization.

744520851648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53964 (or 53951 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 744520851648 in words is "seven hundred forty-four billion, five hundred twenty million, eight hundred fifty-one thousand, six hundred forty-eight".