75045104640 has 704 divisors, whose sum is σ = 308162257920. Its totient is φ = 17116692480.

The previous prime is 75045104639. The next prime is 75045104689. The reversal of 75045104640 is 4640154057.

75045104640 is a `hidden beast` number, since 7 + 5 + 0 + 4 + 5 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75045104595 and 75045104604.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25849429 + ... + 25852331.

It is an arithmetic number, because the mean of its divisors is an integer number (437730480).

Almost surely, 2^75045104640 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 75045104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154081128960).

75045104640 is an abundant number, since it is smaller than the sum of its proper divisors (233117153280).

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

75045104640 is a wasteful number, since it uses less digits than its factorization.

75045104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 75045104640 its reverse (4640154057), we get a palindrome (79685258697).

The spelling of 75045104640 in words is "seventy-five billion, forty-five million, one hundred four thousand, six hundred forty".