743983680960 has 672 divisors, whose sum is σ = 2907349186560. Its totient is φ = 173109436416.

The previous prime is 743983680953. The next prime is 743983680989. The reversal of 743983680960 is 69086389347.

743983680960 is a `hidden beast` number, since 7 + 439 + 8 + 36 + 80 + 96 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 431794659 + ... + 431796381.

It is an arithmetic number, because the mean of its divisors is an integer number (4326412480).

Almost surely, 2^743983680960 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 743983680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453674593280).

743983680960 is an abundant number, since it is smaller than the sum of its proper divisors (2163365505600).

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

743983680960 is a wasteful number, since it uses less digits than its factorization.

743983680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 743983680960 in words is "seven hundred forty-three billion, nine hundred eighty-three million, six hundred eighty thousand, nine hundred sixty".