743504068608 has 240 divisors, whose sum is σ = 2281212326400. Its totient is φ = 210989481984.

The previous prime is 743504068607. The next prime is 743504068613. The reversal of 743504068608 is 806860405347.

It is a super-3 number, since 3×743504068608³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743504068607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51258285 + ... + 51272787.

It is an arithmetic number, because the mean of its divisors is an integer number (9505051360).

Almost surely, 2^743504068608 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 743504068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140606163200).

743504068608 is an abundant number, since it is smaller than the sum of its proper divisors (1537708257792).

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

743504068608 is a wasteful number, since it uses less digits than its factorization.

743504068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14690 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 743504068608 in words is "seven hundred forty-three billion, five hundred four million, sixty-eight thousand, six hundred eight".