743668576 has 96 divisors (see below), whose sum is σ = 1741824000. Its totient is φ = 305797632.

The previous prime is 743668559. The next prime is 743668589. The reversal of 743668576 is 675866347.

It is a happy number.

743668576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5080320) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552305 + ... + 1552783.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 2^743668576 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 743668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

743668576 is an abundant number, since it is smaller than the sum of its proper divisors (998155424).

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

743668576 is a wasteful number, since it uses less digits than its factorization.

743668576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 52.

The square root of 743668576 is about 27270.2874205609. The cubic root of 743668576 is about 905.9964101497.

The spelling of 743668576 in words is "seven hundred forty-three million, six hundred sixty-eight thousand, five hundred seventy-six".