743363964 has 144 divisors (see below), whose sum is σ = 2305937088. Its totient is φ = 197074944.

The previous prime is 743363921. The next prime is 743363983. The reversal of 743363964 is 469363347.

743363964 is a `hidden beast` number, since 7 + 4 + 3 + 3 + 639 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 311544 + ... + 313920.

It is an arithmetic number, because the mean of its divisors is an integer number (16013452).

Almost surely, 2^743363964 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 743363964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152968544).

743363964 is an abundant number, since it is smaller than the sum of its proper divisors (1562573124).

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

743363964 is a wasteful number, since it uses less digits than its factorization.

743363964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2479 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 743363964 is about 27264.7017955451. The cubic root of 743363964 is about 905.8726923733.

The spelling of 743363964 in words is "seven hundred forty-three million, three hundred sixty-three thousand, nine hundred sixty-four".