749968128 has 432 divisors, whose sum is σ = 2752859200. Its totient is φ = 195084288.

The previous prime is 749968097. The next prime is 749968129. The reversal of 749968128 is 821869947.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (749968129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10273500 + ... + 10273572.

Almost surely, 2^749968128 is an apocalyptic number.

749968128 is a gapful number since it is divisible by the number (78) 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 749968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376429600).

749968128 is an abundant number, since it is smaller than the sum of its proper divisors (2002891072).

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

749968128 is a wasteful number, since it uses less digits than its factorization.

749968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 749968128 is about 27385.5459686310. The cubic root of 749968128 is about 908.5474261743.

The spelling of 749968128 in words is "seven hundred forty-nine million, nine hundred sixty-eight thousand, one hundred twenty-eight".