744054128640 has 1020 divisors, whose sum is σ = 2862909928956. Its totient is φ = 184817811456.

The previous prime is 744054128639. The next prime is 744054128659. The reversal of 744054128640 is 46821450447.

744054128640 is a `hidden beast` number, since 7 + 4 + 40 + 541 + 2 + 8 + 64 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29068886016 + 714985242624 = 170496^2 + 845568^2 .

It is a tau number, because it is divible by the number of its divisors (1020).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7670661072 + ... + 7670661168.

Almost surely, 2^744054128640 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 744054128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431454964478).

744054128640 is an abundant number, since it is smaller than the sum of its proper divisors (2118855800316).

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

744054128640 is an frugal number, since it uses more digits than its factorization.

744054128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 744054128640 in words is "seven hundred forty-four billion, fifty-four million, one hundred twenty-eight thousand, six hundred forty".