744440673672 has 48 divisors (see below), whose sum is σ = 2122308942000. Its totient is φ = 235086528096.

The previous prime is 744440673623. The next prime is 744440673679. The reversal of 744440673672 is 276376044447.

744440673672 is a `hidden beast` number, since 7 + 44 + 440 + 67 + 36 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (744440673679) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 272089522 + ... + 272092257.

It is an arithmetic number, because the mean of its divisors is an integer number (44214769625).

Almost surely, 2^744440673672 is an apocalyptic number.

744440673672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

744440673672 is an abundant number, since it is smaller than the sum of its proper divisors (1377868268328).

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

744440673672 is a wasteful number, since it uses less digits than its factorization.

744440673672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544181810 (or 544181803 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 744440673672 in words is "seven hundred forty-four billion, four hundred forty million, six hundred seventy-three thousand, six hundred seventy-two".