755243518720 has 288 divisors, whose sum is σ = 1927076659200. Its totient is φ = 282788610048.

The previous prime is 755243518717. The next prime is 755243518769. The reversal of 755243518720 is 27815342557.

It is a super-3 number, since 3×755243518720³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1355912682 + ... + 1355913238.

It is an arithmetic number, because the mean of its divisors is an integer number (6691238400).

Almost surely, 2^755243518720 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 755243518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963538329600).

755243518720 is an abundant number, since it is smaller than the sum of its proper divisors (1171833140480).

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

755243518720 is a wasteful number, since it uses less digits than its factorization.

755243518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 49.

The spelling of 755243518720 in words is "seven hundred fifty-five billion, two hundred forty-three million, five hundred eighteen thousand, seven hundred twenty".