758721720240 has 1080 divisors, whose sum is σ = 2974932310896. Its totient is φ = 173124864000.

The previous prime is 758721720233. The next prime is 758721720271. The reversal of 758721720240 is 42027127857.

758721720240 is a `hidden beast` number, since 7 + 587 + 2 + 1 + 7 + 20 + 2 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4654734399 + ... + 4654734561.

Almost surely, 2^758721720240 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 758721720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487466155448).

758721720240 is an abundant number, since it is smaller than the sum of its proper divisors (2216210590656).

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

758721720240 is a wasteful number, since it uses less digits than its factorization.

758721720240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 758721720240 in words is "seven hundred fifty-eight billion, seven hundred twenty-one million, seven hundred twenty thousand, two hundred forty".