753828945920 has 224 divisors, whose sum is σ = 1912210653600. Its totient is φ = 284474474496.

The previous prime is 753828945893. The next prime is 753828945937. The reversal of 753828945920 is 29549828357.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200005796 + ... + 200009564.

Almost surely, 2^753828945920 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 753828945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956105326800).

753828945920 is an abundant number, since it is smaller than the sum of its proper divisors (1158381707680).

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

753828945920 is a wasteful number, since it uses less digits than its factorization.

753828945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 62.

The spelling of 753828945920 in words is "seven hundred fifty-three billion, eight hundred twenty-eight million, nine hundred forty-five thousand, nine hundred twenty".