752068830240 has 768 divisors, whose sum is σ = 3245714841600. Its totient is φ = 158382895104.

The previous prime is 752068830187. The next prime is 752068830301. The reversal of 752068830240 is 42038860257.

752068830240 is a `hidden beast` number, since 7 + 520 + 6 + 8 + 83 + 0 + 2 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 259064629 + ... + 259067531.

It is an arithmetic number, because the mean of its divisors is an integer number (4226191200).

Almost surely, 2^752068830240 is an apocalyptic number.

752068830240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752068830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622857420800).

752068830240 is an abundant number, since it is smaller than the sum of its proper divisors (2493646011360).

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

752068830240 is a wasteful number, since it uses less digits than its factorization.

752068830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 752068830240 in words is "seven hundred fifty-two billion, sixty-eight million, eight hundred thirty thousand, two hundred forty".