75381043920 has 480 divisors, whose sum is σ = 293230017792. Its totient is φ = 15682387968.

The previous prime is 75381043909. The next prime is 75381044017. The reversal of 75381043920 is 2934018357.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20724342 + ... + 20727978.

Almost surely, 2^75381043920 is an apocalyptic number.

75381043920 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 75381043920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146615008896).

75381043920 is an abundant number, since it is smaller than the sum of its proper divisors (217848973872).

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

75381043920 is a wasteful number, since it uses less digits than its factorization.

75381043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 75381043920 in words is "seventy-five billion, three hundred eighty-one million, forty-three thousand, nine hundred twenty".