743261685120 has 1024 divisors, whose sum is σ = 2892360960000. Its totient is φ = 179781009408.

The previous prime is 743261685041. The next prime is 743261685163. The reversal of 743261685120 is 21586162347.

743261685120 is a `hidden beast` number, since 7 + 4 + 3 + 2 + 616 + 8 + 5 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 680019294 + ... + 680020386.

It is an arithmetic number, because the mean of its divisors is an integer number (2824571250).

Almost surely, 2^743261685120 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 743261685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446180480000).

743261685120 is an abundant number, since it is smaller than the sum of its proper divisors (2149099274880).

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

743261685120 is a wasteful number, since it uses less digits than its factorization.

743261685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 743261685120 in words is "seven hundred forty-three billion, two hundred sixty-one million, six hundred eighty-five thousand, one hundred twenty".