75038477440 has 128 divisors (see below), whose sum is σ = 181904454000. Its totient is φ = 29596385280.

The previous prime is 75038477429. The next prime is 75038477461. The reversal of 75038477440 is 4477483057.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 48636127296 + 26402350144 = 220536^2 + 162488^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23295030 + ... + 23298250.

Almost surely, 2^75038477440 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 75038477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90952227000).

75038477440 is an abundant number, since it is smaller than the sum of its proper divisors (106865976560).

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

75038477440 is a wasteful number, since it uses less digits than its factorization.

75038477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 75038477440 in words is "seventy-five billion, thirty-eight million, four hundred seventy-seven thousand, four hundred forty".