744467199049728 has 4860 divisors, whose sum is σ = 3086514991241136. Its totient is φ = 177281453260800.

The previous prime is 744467199049699. The next prime is 744467199049741. The reversal of 744467199049728 is 827940991764447.

744467199049728 is a `hidden beast` number, since 7 + 4 + 4 + 4 + 6 + 7 + 19 + 90 + 497 + 28 = 666.

It is a super-3 number, since 3×744467199049728³ (a number of 46 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 24015070937073 + ... + 24015070937103.

Almost surely, 2^{744467199049728} 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 744467199049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543257495620568).

744467199049728 is an abundant number, since it is smaller than the sum of its proper divisors (2342047792191408).

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

744467199049728 is an equidigital number, since it uses as much as digits as its factorization.

744467199049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 81.

The spelling of 744467199049728 in words is "seven hundred forty-four trillion, four hundred sixty-seven billion, one hundred ninety-nine million, forty-nine thousand, seven hundred twenty-eight".