75342168389040 has 320 divisors, whose sum is σ = 270699781248000. Its totient is φ = 16977835671552.

The previous prime is 75342168389021. The next prime is 75342168389063. The reversal of 75342168389040 is 4098386124357.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286723636 + ... + 286986284.

It is an arithmetic number, because the mean of its divisors is an integer number (845936816400).

It is a 1-persistent number, because it is pandigital, but 2⋅75342168389040 = 150684336778080 is not.

Almost surely, 2^{75342168389040} is an apocalyptic number.

75342168389040 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 75342168389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135349890624000).

75342168389040 is an abundant number, since it is smaller than the sum of its proper divisors (195357612858960).

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

75342168389040 is a wasteful number, since it uses less digits than its factorization.

75342168389040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265084 (or 265078 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 75342168389040 in words is "seventy-five trillion, three hundred forty-two billion, one hundred sixty-eight million, three hundred eighty-nine thousand, forty".