75438806040 has 192 divisors, whose sum is σ = 264408056640. Its totient is φ = 18543375360.

The previous prime is 75438805999. The next prime is 75438806041. The reversal of 75438806040 is 4060883457.

75438806040 is a `hidden beast` number, since 7 + 5 + 4 + 38 + 8 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75438806041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419445 + ... + 3441435.

It is an arithmetic number, because the mean of its divisors is an integer number (1377125295).

Almost surely, 2^75438806040 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 75438806040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132204028320).

75438806040 is an abundant number, since it is smaller than the sum of its proper divisors (188969250600).

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

75438806040 is a wasteful number, since it uses less digits than its factorization.

75438806040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22754 (or 22747 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 75438806040 in words is "seventy-five billion, four hundred thirty-eight million, eight hundred six thousand, forty".