754813968440 has 128 divisors (see below), whose sum is σ = 1956445488000. Its totient is φ = 256731740160.

The previous prime is 754813968427. The next prime is 754813968481. The reversal of 754813968440 is 44869318457.

It is a self number, because there is not a number n which added to its sum of digits gives 754813968440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34241102 + ... + 34263138.

It is an arithmetic number, because the mean of its divisors is an integer number (15284730375).

Almost surely, 2^754813968440 is an apocalyptic number.

754813968440 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 754813968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978222744000).

754813968440 is an abundant number, since it is smaller than the sum of its proper divisors (1201631519560).

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

754813968440 is a wasteful number, since it uses less digits than its factorization.

754813968440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 754813968440 in words is "seven hundred fifty-four billion, eight hundred thirteen million, nine hundred sixty-eight thousand, four hundred forty".