753050881968 has 480 divisors, whose sum is σ = 2676833671680. Its totient is φ = 177739161600.

The previous prime is 753050881963. The next prime is 753050882009. The reversal of 753050881968 is 869188050357.

It is not an unprimeable number, because it can be changed into a prime (753050881963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20024623 + ... + 20062193.

It is an arithmetic number, because the mean of its divisors is an integer number (5576736816).

Almost surely, 2^753050881968 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 753050881968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338416835840).

753050881968 is an abundant number, since it is smaller than the sum of its proper divisors (1923782789712).

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

753050881968 is a wasteful number, since it uses less digits than its factorization.

753050881968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37657 (or 37640 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 753050881968 in words is "seven hundred fifty-three billion, fifty million, eight hundred eighty-one thousand, nine hundred sixty-eight".