75381338736 has 240 divisors, whose sum is σ = 234171345408. Its totient is φ = 22444646400.

The previous prime is 75381338699. The next prime is 75381338843. The reversal of 75381338736 is 63783318357.

75381338736 is a `hidden beast` number, since 7 + 538 + 1 + 3 + 38 + 73 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 61235241 + ... + 61236471.

Almost surely, 2^75381338736 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 75381338736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117085672704).

75381338736 is an abundant number, since it is smaller than the sum of its proper divisors (158790006672).

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

75381338736 is a wasteful number, since it uses less digits than its factorization.

75381338736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1891 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 75381338736 in words is "seventy-five billion, three hundred eighty-one million, three hundred thirty-eight thousand, seven hundred thirty-six".