75054224993664 has 1024 divisors, whose sum is σ = 250871566417920. Its totient is φ = 19393786675200.

The previous prime is 75054224993663. The next prime is 75054224993753. The reversal of 75054224993664 is 46639942245057.

It is a junction number, because it is equal to n+sod(n) for n = 75054224993595 and 75054224993604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75054224993663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76352212117 + ... + 76352213099.

It is an arithmetic number, because the mean of its divisors is an integer number (244991764080).

Almost surely, 2^{75054224993664} 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 75054224993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125435783208960).

75054224993664 is an abundant number, since it is smaller than the sum of its proper divisors (175817341424256).

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

75054224993664 is a wasteful number, since it uses less digits than its factorization.

75054224993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 75054224993664 in words is "seventy-five trillion, fifty-four billion, two hundred twenty-four million, nine hundred ninety-three thousand, six hundred sixty-four".