741341664 has 144 divisors (see below), whose sum is σ = 2468400480. Its totient is φ = 206622720.

The previous prime is 741341663. The next prime is 741341749. The reversal of 741341664 is 466143147.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741341663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78172 + ... + 87140.

It is an arithmetic number, because the mean of its divisors is an integer number (17141670).

Almost surely, 2^741341664 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 741341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234200240).

741341664 is an abundant number, since it is smaller than the sum of its proper divisors (1727058816).

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

741341664 is a wasteful number, since it uses less digits than its factorization.

741341664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9022 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 741341664 is about 27227.5901247246. The cubic root of 741341664 is about 905.0504795668.

The spelling of 741341664 in words is "seven hundred forty-one million, three hundred forty-one thousand, six hundred sixty-four".