75054145544640 has 1344 divisors, whose sum is σ = 299739447052800. Its totient is φ = 17844777861120.

The previous prime is 75054145544639. The next prime is 75054145544689. The reversal of 75054145544640 is 4644554145057.

75054145544640 is a `hidden beast` number, since 7 + 5 + 0 + 5 + 4 + 1 + 4 + 554 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3842811675 + ... + 3842831205.

Almost surely, 2^{75054145544640} 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 75054145544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869723526400).

75054145544640 is an abundant number, since it is smaller than the sum of its proper divisors (224685301508160).

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

75054145544640 is a wasteful number, since it uses less digits than its factorization.

75054145544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19622 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 26880000, while the sum is 54.

Adding to 75054145544640 its reverse (4644554145057), we get a palindrome (79698699689697).

The spelling of 75054145544640 in words is "seventy-five trillion, fifty-four billion, one hundred forty-five million, five hundred forty-four thousand, six hundred forty".